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Finding the Third Proportional to 96,604.31 and 142,111.13

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Solution

The third proportional to 96,604.31 and 142,111.13 is: 209,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,604.31 : 142,111.13 = 142,111.13 : x
  2. Step 2: Convert to fraction form
    96,604.31/142,111.13 = 142,111.13/x
  3. Step 3: Cross multiply
    96,604.31x = 142,111.13 × 142,111.13
  4. Step 4: Simplify right side
    96,604.31x = 20,195,571,848.77
  5. Step 5: Solve for x
    x = 20,195,571,848.77/96,604.31
  6. Step 6: Final answer
    x = 209,054.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.