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Finding the Third Proportional to 45,480.75 and 97,801.88

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Solution

The third proportional to 45,480.75 and 97,801.88 is: 210,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,480.75 : 97,801.88 = 97,801.88 : x
  2. Step 2: Convert to fraction form
    45,480.75/97,801.88 = 97,801.88/x
  3. Step 3: Cross multiply
    45,480.75x = 97,801.88 × 97,801.88
  4. Step 4: Simplify right side
    45,480.75x = 9,565,206,753.52
  5. Step 5: Solve for x
    x = 9,565,206,753.52/45,480.75
  6. Step 6: Final answer
    x = 210,313.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.