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Finding the Third Proportional to 67,304,854.13 and 146,402,022.38

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Solution

The third proportional to 67,304,854.13 and 146,402,022.38 is: 318,454,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304,854.13 : 146,402,022.38 = 146,402,022.38 : x
  2. Step 2: Convert to fraction form
    67,304,854.13/146,402,022.38 = 146,402,022.38/x
  3. Step 3: Cross multiply
    67,304,854.13x = 146,402,022.38 × 146,402,022.38
  4. Step 4: Simplify right side
    67,304,854.13x = 21,433,552,155,490,000
  5. Step 5: Solve for x
    x = 21,433,552,155,490,000/67,304,854.13
  6. Step 6: Final answer
    x = 318,454,774.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.