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Finding the Third Proportional to 67,807.69 and 147,666.09

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Solution

The third proportional to 67,807.69 and 147,666.09 is: 321,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,807.69 : 147,666.09 = 147,666.09 : x
  2. Step 2: Convert to fraction form
    67,807.69/147,666.09 = 147,666.09/x
  3. Step 3: Cross multiply
    67,807.69x = 147,666.09 × 147,666.09
  4. Step 4: Simplify right side
    67,807.69x = 21,805,275,243.38
  5. Step 5: Solve for x
    x = 21,805,275,243.38/67,807.69
  6. Step 6: Final answer
    x = 321,575.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.