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Finding the Third Proportional to 99,036.42 and 213,472.97

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Solution

The third proportional to 99,036.42 and 213,472.97 is: 460,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036.42 : 213,472.97 = 213,472.97 : x
  2. Step 2: Convert to fraction form
    99,036.42/213,472.97 = 213,472.97/x
  3. Step 3: Cross multiply
    99,036.42x = 213,472.97 × 213,472.97
  4. Step 4: Simplify right side
    99,036.42x = 45,570,708,386.94
  5. Step 5: Solve for x
    x = 45,570,708,386.94/99,036.42
  6. Step 6: Final answer
    x = 460,140.90

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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.