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Finding the Third Proportional to 102,096,074 and 224,029,372

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Solution

The third proportional to 102,096,074 and 224,029,372 is: 491,587,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096,074 : 224,029,372 = 224,029,372 : x
  2. Step 2: Convert to fraction form
    102,096,074/224,029,372 = 224,029,372/x
  3. Step 3: Cross multiply
    102,096,074x = 224,029,372 × 224,029,372
  4. Step 4: Simplify right side
    102,096,074x = 50,189,159,518,714,384
  5. Step 5: Solve for x
    x = 50,189,159,518,714,384/102,096,074
  6. Step 6: Final answer
    x = 491,587,556.23

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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.