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Finding the Third Proportional to 48,098.81 and 85,809.38

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Solution

The third proportional to 48,098.81 and 85,809.38 is: 153,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,098.81 : 85,809.38 = 85,809.38 : x
  2. Step 2: Convert to fraction form
    48,098.81/85,809.38 = 85,809.38/x
  3. Step 3: Cross multiply
    48,098.81x = 85,809.38 × 85,809.38
  4. Step 4: Simplify right side
    48,098.81x = 7,363,248,837.89
  5. Step 5: Solve for x
    x = 7,363,248,837.89/48,098.81
  6. Step 6: Final answer
    x = 153,085.88

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.