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Finding the Third Proportional to 102,096,021 and 224,029,266

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Solution

The third proportional to 102,096,021 and 224,029,266 is: 491,587,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096,021 : 224,029,266 = 224,029,266 : x
  2. Step 2: Convert to fraction form
    102,096,021/224,029,266 = 224,029,266/x
  3. Step 3: Cross multiply
    102,096,021x = 224,029,266 × 224,029,266
  4. Step 4: Simplify right side
    102,096,021x = 50,189,112,024,498,752
  5. Step 5: Solve for x
    x = 50,189,112,024,498,752/102,096,021
  6. Step 6: Final answer
    x = 491,587,346.23

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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.