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Finding the Third Proportional to 47,930,178.50 and 104,828,409

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Solution

The third proportional to 47,930,178.50 and 104,828,409 is: 229,270,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,930,178.50 : 104,828,409 = 104,828,409 : x
  2. Step 2: Convert to fraction form
    47,930,178.50/104,828,409 = 104,828,409/x
  3. Step 3: Cross multiply
    47,930,178.50x = 104,828,409 × 104,828,409
  4. Step 4: Simplify right side
    47,930,178.50x = 10,988,995,333,471,280
  5. Step 5: Solve for x
    x = 10,988,995,333,471,280/47,930,178.50
  6. Step 6: Final answer
    x = 229,270,903.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.