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Finding the Third Proportional to 45,478.13 and 98,911.13

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Solution

The third proportional to 45,478.13 and 98,911.13 is: 215,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,478.13 : 98,911.13 = 98,911.13 : x
  2. Step 2: Convert to fraction form
    45,478.13/98,911.13 = 98,911.13/x
  3. Step 3: Cross multiply
    45,478.13x = 98,911.13 × 98,911.13
  4. Step 4: Simplify right side
    45,478.13x = 9,783,410,648.77
  5. Step 5: Solve for x
    x = 9,783,410,648.77/45,478.13
  6. Step 6: Final answer
    x = 215,123.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.