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Finding the Third Proportional to 89,079,724.50 and 186,304,317

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Solution

The third proportional to 89,079,724.50 and 186,304,317 is: 389,643,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079,724.50 : 186,304,317 = 186,304,317 : x
  2. Step 2: Convert to fraction form
    89,079,724.50/186,304,317 = 186,304,317/x
  3. Step 3: Cross multiply
    89,079,724.50x = 186,304,317 × 186,304,317
  4. Step 4: Simplify right side
    89,079,724.50x = 34,709,298,532,836,488
  5. Step 5: Solve for x
    x = 34,709,298,532,836,488/89,079,724.50
  6. Step 6: Final answer
    x = 389,643,083.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.