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Finding the Third Proportional to 66,519.38 and 147,801.38

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Solution

The third proportional to 66,519.38 and 147,801.38 is: 328,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519.38 : 147,801.38 = 147,801.38 : x
  2. Step 2: Convert to fraction form
    66,519.38/147,801.38 = 147,801.38/x
  3. Step 3: Cross multiply
    66,519.38x = 147,801.38 × 147,801.38
  4. Step 4: Simplify right side
    66,519.38x = 21,845,246,451.89
  5. Step 5: Solve for x
    x = 21,845,246,451.89/66,519.38
  6. Step 6: Final answer
    x = 328,404.26

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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.