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Finding the Third Proportional to 49,332 and 108,505.50

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Solution

The third proportional to 49,332 and 108,505.50 is: 238,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,332 : 108,505.50 = 108,505.50 : x
  2. Step 2: Convert to fraction form
    49,332/108,505.50 = 108,505.50/x
  3. Step 3: Cross multiply
    49,332x = 108,505.50 × 108,505.50
  4. Step 4: Simplify right side
    49,332x = 11,773,443,530.25
  5. Step 5: Solve for x
    x = 11,773,443,530.25/49,332
  6. Step 6: Final answer
    x = 238,657.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.