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Finding the Third Proportional to 66,854.44 and 148,470.94

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Solution

The third proportional to 66,854.44 and 148,470.94 is: 329,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,854.44 : 148,470.94 = 148,470.94 : x
  2. Step 2: Convert to fraction form
    66,854.44/148,470.94 = 148,470.94/x
  3. Step 3: Cross multiply
    66,854.44x = 148,470.94 × 148,470.94
  4. Step 4: Simplify right side
    66,854.44x = 22,043,619,282.13
  5. Step 5: Solve for x
    x = 22,043,619,282.13/66,854.44
  6. Step 6: Final answer
    x = 329,725.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.