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Finding the Third Proportional to 65,802.38 and 99,290.81

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Solution

The third proportional to 65,802.38 and 99,290.81 is: 149,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.38 : 99,290.81 = 99,290.81 : x
  2. Step 2: Convert to fraction form
    65,802.38/99,290.81 = 99,290.81/x
  3. Step 3: Cross multiply
    65,802.38x = 99,290.81 × 99,290.81
  4. Step 4: Simplify right side
    65,802.38x = 9,858,665,446.91
  5. Step 5: Solve for x
    x = 9,858,665,446.91/65,802.38
  6. Step 6: Final answer
    x = 149,822.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.