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Finding the Third Proportional to 49,817.53 and 107,508.52

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Solution

The third proportional to 49,817.53 and 107,508.52 is: 232,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,817.53 : 107,508.52 = 107,508.52 : x
  2. Step 2: Convert to fraction form
    49,817.53/107,508.52 = 107,508.52/x
  3. Step 3: Cross multiply
    49,817.53x = 107,508.52 × 107,508.52
  4. Step 4: Simplify right side
    49,817.53x = 11,558,080,931.89
  5. Step 5: Solve for x
    x = 11,558,080,931.89/49,817.53
  6. Step 6: Final answer
    x = 232,008.30

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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.