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Finding the Third Proportional to 66,566.81 and 146,061.98

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Solution

The third proportional to 66,566.81 and 146,061.98 is: 320,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566.81 : 146,061.98 = 146,061.98 : x
  2. Step 2: Convert to fraction form
    66,566.81/146,061.98 = 146,061.98/x
  3. Step 3: Cross multiply
    66,566.81x = 146,061.98 × 146,061.98
  4. Step 4: Simplify right side
    66,566.81x = 21,334,103,279.56
  5. Step 5: Solve for x
    x = 21,334,103,279.56/66,566.81
  6. Step 6: Final answer
    x = 320,491.59

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