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Finding the Third Proportional to 47,125.41 and 97,531.31

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Solution

The third proportional to 47,125.41 and 97,531.31 is: 201,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125.41 : 97,531.31 = 97,531.31 : x
  2. Step 2: Convert to fraction form
    47,125.41/97,531.31 = 97,531.31/x
  3. Step 3: Cross multiply
    47,125.41x = 97,531.31 × 97,531.31
  4. Step 4: Simplify right side
    47,125.41x = 9,512,356,917.97
  5. Step 5: Solve for x
    x = 9,512,356,917.97/47,125.41
  6. Step 6: Final answer
    x = 201,851.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.