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Finding the Third Proportional to 40,888 and 90,511

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Solution

The third proportional to 40,888 and 90,511 is: 200,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,888 : 90,511 = 90,511 : x
  2. Step 2: Convert to fraction form
    40,888/90,511 = 90,511/x
  3. Step 3: Cross multiply
    40,888x = 90,511 × 90,511
  4. Step 4: Simplify right side
    40,888x = 8,192,241,121
  5. Step 5: Solve for x
    x = 8,192,241,121/40,888
  6. Step 6: Final answer
    x = 200,358.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.