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Finding the Third Proportional to 40,988 and 96,719

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Solution

The third proportional to 40,988 and 96,719 is: 228,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,988 : 96,719 = 96,719 : x
  2. Step 2: Convert to fraction form
    40,988/96,719 = 96,719/x
  3. Step 3: Cross multiply
    40,988x = 96,719 × 96,719
  4. Step 4: Simplify right side
    40,988x = 9,354,564,961
  5. Step 5: Solve for x
    x = 9,354,564,961/40,988
  6. Step 6: Final answer
    x = 228,226.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.