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Finding the Third Proportional to 102,081,567 and 224,003,526

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Solution

The third proportional to 102,081,567 and 224,003,526 is: 491,543,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,567 : 224,003,526 = 224,003,526 : x
  2. Step 2: Convert to fraction form
    102,081,567/224,003,526 = 224,003,526/x
  3. Step 3: Cross multiply
    102,081,567x = 224,003,526 × 224,003,526
  4. Step 4: Simplify right side
    102,081,567x = 50,177,579,660,432,672
  5. Step 5: Solve for x
    x = 50,177,579,660,432,672/102,081,567
  6. Step 6: Final answer
    x = 491,543,979.34

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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.