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Finding the Third Proportional to 42,968,921.13 and 68,151,376.58

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Solution

The third proportional to 42,968,921.13 and 68,151,376.58 is: 108,092,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,968,921.13 : 68,151,376.58 = 68,151,376.58 : x
  2. Step 2: Convert to fraction form
    42,968,921.13/68,151,376.58 = 68,151,376.58/x
  3. Step 3: Cross multiply
    42,968,921.13x = 68,151,376.58 × 68,151,376.58
  4. Step 4: Simplify right side
    42,968,921.13x = 4,644,610,130,025,667
  5. Step 5: Solve for x
    x = 4,644,610,130,025,667/42,968,921.13
  6. Step 6: Final answer
    x = 108,092,314.34

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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.