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Finding the Third Proportional to 66,490.88 and 142,808.06

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Solution

The third proportional to 66,490.88 and 142,808.06 is: 306,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490.88 : 142,808.06 = 142,808.06 : x
  2. Step 2: Convert to fraction form
    66,490.88/142,808.06 = 142,808.06/x
  3. Step 3: Cross multiply
    66,490.88x = 142,808.06 × 142,808.06
  4. Step 4: Simplify right side
    66,490.88x = 20,394,142,715.00
  5. Step 5: Solve for x
    x = 20,394,142,715.00/66,490.88
  6. Step 6: Final answer
    x = 306,720.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.