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Finding the Third Proportional to 99,218.25 and 213,988.50

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Solution

The third proportional to 99,218.25 and 213,988.50 is: 461,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218.25 : 213,988.50 = 213,988.50 : x
  2. Step 2: Convert to fraction form
    99,218.25/213,988.50 = 213,988.50/x
  3. Step 3: Cross multiply
    99,218.25x = 213,988.50 × 213,988.50
  4. Step 4: Simplify right side
    99,218.25x = 45,791,078,132.25
  5. Step 5: Solve for x
    x = 45,791,078,132.25/99,218.25
  6. Step 6: Final answer
    x = 461,518.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.