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Finding the Third Proportional to 48,225.38 and 105,788.53

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Solution

The third proportional to 48,225.38 and 105,788.53 is: 232,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,225.38 : 105,788.53 = 105,788.53 : x
  2. Step 2: Convert to fraction form
    48,225.38/105,788.53 = 105,788.53/x
  3. Step 3: Cross multiply
    48,225.38x = 105,788.53 × 105,788.53
  4. Step 4: Simplify right side
    48,225.38x = 11,191,213,344.03
  5. Step 5: Solve for x
    x = 11,191,213,344.03/48,225.38
  6. Step 6: Final answer
    x = 232,060.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.