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Finding the Third Proportional to 91,716 and 200,712

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Solution

The third proportional to 91,716 and 200,712 is: 439,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,716 : 200,712 = 200,712 : x
  2. Step 2: Convert to fraction form
    91,716/200,712 = 200,712/x
  3. Step 3: Cross multiply
    91,716x = 200,712 × 200,712
  4. Step 4: Simplify right side
    91,716x = 40,285,306,944
  5. Step 5: Solve for x
    x = 40,285,306,944/91,716
  6. Step 6: Final answer
    x = 439,239.68

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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.