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Finding the Third Proportional to 83,847,134 and 133,329,081

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Solution

The third proportional to 83,847,134 and 133,329,081 is: 212,012,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847,134 : 133,329,081 = 133,329,081 : x
  2. Step 2: Convert to fraction form
    83,847,134/133,329,081 = 133,329,081/x
  3. Step 3: Cross multiply
    83,847,134x = 133,329,081 × 133,329,081
  4. Step 4: Simplify right side
    83,847,134x = 17,776,643,840,304,560
  5. Step 5: Solve for x
    x = 17,776,643,840,304,560/83,847,134
  6. Step 6: Final answer
    x = 212,012,539.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.