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Finding the Third Proportional to 218,129,358 and 477,304,386

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Solution

The third proportional to 218,129,358 and 477,304,386 is: 1,044,423,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,129,358 : 477,304,386 = 477,304,386 : x
  2. Step 2: Convert to fraction form
    218,129,358/477,304,386 = 477,304,386/x
  3. Step 3: Cross multiply
    218,129,358x = 477,304,386 × 477,304,386
  4. Step 4: Simplify right side
    218,129,358x = 227,819,476,894,836,992
  5. Step 5: Solve for x
    x = 227,819,476,894,836,992/218,129,358
  6. Step 6: Final answer
    x = 1,044,423,726.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.