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Finding the Third Proportional to 102,081,569 and 224,003,530

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Solution

The third proportional to 102,081,569 and 224,003,530 is: 491,543,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,569 : 224,003,530 = 224,003,530 : x
  2. Step 2: Convert to fraction form
    102,081,569/224,003,530 = 224,003,530/x
  3. Step 3: Cross multiply
    102,081,569x = 224,003,530 × 224,003,530
  4. Step 4: Simplify right side
    102,081,569x = 50,177,581,452,460,896
  5. Step 5: Solve for x
    x = 50,177,581,452,460,896/102,081,569
  6. Step 6: Final answer
    x = 491,543,987.26

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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.