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Finding the Third Proportional to 68,858,326.13 and 145,488,160.13

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Solution

The third proportional to 68,858,326.13 and 145,488,160.13 is: 307,396,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858,326.13 : 145,488,160.13 = 145,488,160.13 : x
  2. Step 2: Convert to fraction form
    68,858,326.13/145,488,160.13 = 145,488,160.13/x
  3. Step 3: Cross multiply
    68,858,326.13x = 145,488,160.13 × 145,488,160.13
  4. Step 4: Simplify right side
    68,858,326.13x = 21,166,804,736,557,640
  5. Step 5: Solve for x
    x = 21,166,804,736,557,640/68,858,326.13
  6. Step 6: Final answer
    x = 307,396,446.12

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.