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Finding the Third Proportional to 91,027.13 and 198,031.13

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Solution

The third proportional to 91,027.13 and 198,031.13 is: 430,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,027.13 : 198,031.13 = 198,031.13 : x
  2. Step 2: Convert to fraction form
    91,027.13/198,031.13 = 198,031.13/x
  3. Step 3: Cross multiply
    91,027.13x = 198,031.13 × 198,031.13
  4. Step 4: Simplify right side
    91,027.13x = 39,216,326,468.77
  5. Step 5: Solve for x
    x = 39,216,326,468.77/91,027.13
  6. Step 6: Final answer
    x = 430,820.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.