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Finding the Third Proportional to 102,096,076 and 224,029,376

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Solution

The third proportional to 102,096,076 and 224,029,376 is: 491,587,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096,076 : 224,029,376 = 224,029,376 : x
  2. Step 2: Convert to fraction form
    102,096,076/224,029,376 = 224,029,376/x
  3. Step 3: Cross multiply
    102,096,076x = 224,029,376 × 224,029,376
  4. Step 4: Simplify right side
    102,096,076x = 50,189,161,310,949,376
  5. Step 5: Solve for x
    x = 50,189,161,310,949,376/102,096,076
  6. Step 6: Final answer
    x = 491,587,564.16

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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.