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Finding the Third Proportional to 91,699 and 200,893

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Solution

The third proportional to 91,699 and 200,893 is: 440,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,699 : 200,893 = 200,893 : x
  2. Step 2: Convert to fraction form
    91,699/200,893 = 200,893/x
  3. Step 3: Cross multiply
    91,699x = 200,893 × 200,893
  4. Step 4: Simplify right side
    91,699x = 40,357,997,449
  5. Step 5: Solve for x
    x = 40,357,997,449/91,699
  6. Step 6: Final answer
    x = 440,113.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.