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Finding the Third Proportional to 46,290 and 99,591

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Solution

The third proportional to 46,290 and 99,591 is: 214,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,290 : 99,591 = 99,591 : x
  2. Step 2: Convert to fraction form
    46,290/99,591 = 99,591/x
  3. Step 3: Cross multiply
    46,290x = 99,591 × 99,591
  4. Step 4: Simplify right side
    46,290x = 9,918,367,281
  5. Step 5: Solve for x
    x = 9,918,367,281/46,290
  6. Step 6: Final answer
    x = 214,265.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.