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Finding the Third Proportional to 97,878.38 and 155,565.56

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Solution

The third proportional to 97,878.38 and 155,565.56 is: 247,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,878.38 : 155,565.56 = 155,565.56 : x
  2. Step 2: Convert to fraction form
    97,878.38/155,565.56 = 155,565.56/x
  3. Step 3: Cross multiply
    97,878.38x = 155,565.56 × 155,565.56
  4. Step 4: Simplify right side
    97,878.38x = 24,200,644,235.94
  5. Step 5: Solve for x
    x = 24,200,644,235.94/97,878.38
  6. Step 6: Final answer
    x = 247,252.21

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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.