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Finding the Third Proportional to 45,865.13 and 96,703.88

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Solution

The third proportional to 45,865.13 and 96,703.88 is: 203,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865.13 : 96,703.88 = 96,703.88 : x
  2. Step 2: Convert to fraction form
    45,865.13/96,703.88 = 96,703.88/x
  3. Step 3: Cross multiply
    45,865.13x = 96,703.88 × 96,703.88
  4. Step 4: Simplify right side
    45,865.13x = 9,351,639,440.02
  5. Step 5: Solve for x
    x = 9,351,639,440.02/45,865.13
  6. Step 6: Final answer
    x = 203,894.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.