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Finding the Third Proportional to 44,332.50 and 96,200.75

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Solution

The third proportional to 44,332.50 and 96,200.75 is: 208,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,332.50 : 96,200.75 = 96,200.75 : x
  2. Step 2: Convert to fraction form
    44,332.50/96,200.75 = 96,200.75/x
  3. Step 3: Cross multiply
    44,332.50x = 96,200.75 × 96,200.75
  4. Step 4: Simplify right side
    44,332.50x = 9,254,584,300.56
  5. Step 5: Solve for x
    x = 9,254,584,300.56/44,332.50
  6. Step 6: Final answer
    x = 208,753.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.