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Finding the Third Proportional to 272,234,092 and 418,443,304

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Solution

The third proportional to 272,234,092 and 418,443,304 is: 643,177,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,092 : 418,443,304 = 418,443,304 : x
  2. Step 2: Convert to fraction form
    272,234,092/418,443,304 = 418,443,304/x
  3. Step 3: Cross multiply
    272,234,092x = 418,443,304 × 418,443,304
  4. Step 4: Simplify right side
    272,234,092x = 175,094,798,662,436,416
  5. Step 5: Solve for x
    x = 175,094,798,662,436,416/272,234,092
  6. Step 6: Final answer
    x = 643,177,338.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.