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Finding the Third Proportional to 99,350 and 215,275

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Solution

The third proportional to 99,350 and 215,275 is: 466,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,350 : 215,275 = 215,275 : x
  2. Step 2: Convert to fraction form
    99,350/215,275 = 215,275/x
  3. Step 3: Cross multiply
    99,350x = 215,275 × 215,275
  4. Step 4: Simplify right side
    99,350x = 46,343,325,625
  5. Step 5: Solve for x
    x = 46,343,325,625/99,350
  6. Step 6: Final answer
    x = 466,465.28

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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.