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Finding the Third Proportional to 68,048,002.13 and 103,334,177.25

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Solution

The third proportional to 68,048,002.13 and 103,334,177.25 is: 156,917,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048,002.13 : 103,334,177.25 = 103,334,177.25 : x
  2. Step 2: Convert to fraction form
    68,048,002.13/103,334,177.25 = 103,334,177.25/x
  3. Step 3: Cross multiply
    68,048,002.13x = 103,334,177.25 × 103,334,177.25
  4. Step 4: Simplify right side
    68,048,002.13x = 10,677,952,187,934,418
  5. Step 5: Solve for x
    x = 10,677,952,187,934,418/68,048,002.13
  6. Step 6: Final answer
    x = 156,917,938.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.