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Finding the Third Proportional to 91,866.75 and 137,800.88

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Solution

The third proportional to 91,866.75 and 137,800.88 is: 206,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,866.75 : 137,800.88 = 137,800.88 : x
  2. Step 2: Convert to fraction form
    91,866.75/137,800.88 = 137,800.88/x
  3. Step 3: Cross multiply
    91,866.75x = 137,800.88 × 137,800.88
  4. Step 4: Simplify right side
    91,866.75x = 18,989,081,150.77
  5. Step 5: Solve for x
    x = 18,989,081,150.77/91,866.75
  6. Step 6: Final answer
    x = 206,702.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.