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Finding the Third Proportional to 97,966.13 and 150,778.13

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Solution

The third proportional to 97,966.13 and 150,778.13 is: 232,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,966.13 : 150,778.13 = 150,778.13 : x
  2. Step 2: Convert to fraction form
    97,966.13/150,778.13 = 150,778.13/x
  3. Step 3: Cross multiply
    97,966.13x = 150,778.13 × 150,778.13
  4. Step 4: Simplify right side
    97,966.13x = 22,734,042,978.52
  5. Step 5: Solve for x
    x = 22,734,042,978.52/97,966.13
  6. Step 6: Final answer
    x = 232,060.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.