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Finding the Third Proportional to 45,072.70 and 96,398.86

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Solution

The third proportional to 45,072.70 and 96,398.86 is: 206,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,072.70 : 96,398.86 = 96,398.86 : x
  2. Step 2: Convert to fraction form
    45,072.70/96,398.86 = 96,398.86/x
  3. Step 3: Cross multiply
    45,072.70x = 96,398.86 × 96,398.86
  4. Step 4: Simplify right side
    45,072.70x = 9,292,740,088.80
  5. Step 5: Solve for x
    x = 9,292,740,088.80/45,072.70
  6. Step 6: Final answer
    x = 206,172.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.