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Finding the Third Proportional to 49,346.50 and 108,532

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Solution

The third proportional to 49,346.50 and 108,532 is: 238,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.50 : 108,532 = 108,532 : x
  2. Step 2: Convert to fraction form
    49,346.50/108,532 = 108,532/x
  3. Step 3: Cross multiply
    49,346.50x = 108,532 × 108,532
  4. Step 4: Simplify right side
    49,346.50x = 11,779,195,024
  5. Step 5: Solve for x
    x = 11,779,195,024/49,346.50
  6. Step 6: Final answer
    x = 238,703.76

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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.