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Finding the Third Proportional to 50,115 and 108,148.50

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Solution

The third proportional to 50,115 and 108,148.50 is: 233,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,115 : 108,148.50 = 108,148.50 : x
  2. Step 2: Convert to fraction form
    50,115/108,148.50 = 108,148.50/x
  3. Step 3: Cross multiply
    50,115x = 108,148.50 × 108,148.50
  4. Step 4: Simplify right side
    50,115x = 11,696,098,052.25
  5. Step 5: Solve for x
    x = 11,696,098,052.25/50,115
  6. Step 6: Final answer
    x = 233,385.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.