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Finding the Third Proportional to 147,766.78 and 215,191.69

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Solution

The third proportional to 147,766.78 and 215,191.69 is: 313,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,766.78 : 215,191.69 = 215,191.69 : x
  2. Step 2: Convert to fraction form
    147,766.78/215,191.69 = 215,191.69/x
  3. Step 3: Cross multiply
    147,766.78x = 215,191.69 × 215,191.69
  4. Step 4: Simplify right side
    147,766.78x = 46,307,462,369.10
  5. Step 5: Solve for x
    x = 46,307,462,369.10/147,766.78
  6. Step 6: Final answer
    x = 313,382.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.