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Finding the Third Proportional to 224,086,979,677.50 and 483,953,008,164.75

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Solution

The third proportional to 224,086,979,677.50 and 483,953,008,164.75 is: 1,045,176,807,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086,979,677.50 : 483,953,008,164.75 = 483,953,008,164.75 : x
  2. Step 2: Convert to fraction form
    224,086,979,677.50/483,953,008,164.75 = 483,953,008,164.75/x
  3. Step 3: Cross multiply
    224,086,979,677.50x = 483,953,008,164.75 × 483,953,008,164.75
  4. Step 4: Simplify right side
    224,086,979,677.50x = 234,210,514,111,710,575,460,352
  5. Step 5: Solve for x
    x = 234,210,514,111,710,575,460,352/224,086,979,677.50
  6. Step 6: Final answer
    x = 1,045,176,807,901.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.