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Finding the Third Proportional to 63,664.88 and 96,881.44

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Solution

The third proportional to 63,664.88 and 96,881.44 is: 147,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,664.88 : 96,881.44 = 96,881.44 : x
  2. Step 2: Convert to fraction form
    63,664.88/96,881.44 = 96,881.44/x
  3. Step 3: Cross multiply
    63,664.88x = 96,881.44 × 96,881.44
  4. Step 4: Simplify right side
    63,664.88x = 9,386,012,932.07
  5. Step 5: Solve for x
    x = 9,386,012,932.07/63,664.88
  6. Step 6: Final answer
    x = 147,428.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.