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Finding the Third Proportional to 66,018.38 and 99,343.69

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Solution

The third proportional to 66,018.38 and 99,343.69 is: 149,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,018.38 : 99,343.69 = 99,343.69 : x
  2. Step 2: Convert to fraction form
    66,018.38/99,343.69 = 99,343.69/x
  3. Step 3: Cross multiply
    66,018.38x = 99,343.69 × 99,343.69
  4. Step 4: Simplify right side
    66,018.38x = 9,869,168,246.10
  5. Step 5: Solve for x
    x = 9,869,168,246.10/66,018.38
  6. Step 6: Final answer
    x = 149,491.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.