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Finding the Third Proportional to 48,849.75 and 106,538.63

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Solution

The third proportional to 48,849.75 and 106,538.63 is: 232,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,849.75 : 106,538.63 = 106,538.63 : x
  2. Step 2: Convert to fraction form
    48,849.75/106,538.63 = 106,538.63/x
  3. Step 3: Cross multiply
    48,849.75x = 106,538.63 × 106,538.63
  4. Step 4: Simplify right side
    48,849.75x = 11,350,478,616.89
  5. Step 5: Solve for x
    x = 11,350,478,616.89/48,849.75
  6. Step 6: Final answer
    x = 232,354.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.