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Finding the Third Proportional to 99,598.50 and 215,802

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Solution

The third proportional to 99,598.50 and 215,802 is: 467,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,598.50 : 215,802 = 215,802 : x
  2. Step 2: Convert to fraction form
    99,598.50/215,802 = 215,802/x
  3. Step 3: Cross multiply
    99,598.50x = 215,802 × 215,802
  4. Step 4: Simplify right side
    99,598.50x = 46,570,503,204
  5. Step 5: Solve for x
    x = 46,570,503,204/99,598.50
  6. Step 6: Final answer
    x = 467,582.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.