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Finding the Third Proportional to 91,707 and 200,909

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Solution

The third proportional to 91,707 and 200,909 is: 440,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707 : 200,909 = 200,909 : x
  2. Step 2: Convert to fraction form
    91,707/200,909 = 200,909/x
  3. Step 3: Cross multiply
    91,707x = 200,909 × 200,909
  4. Step 4: Simplify right side
    91,707x = 40,364,426,281
  5. Step 5: Solve for x
    x = 40,364,426,281/91,707
  6. Step 6: Final answer
    x = 440,145.53

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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.