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Finding the Third Proportional to 91,719 and 201,482

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Solution

The third proportional to 91,719 and 201,482 is: 442,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,719 : 201,482 = 201,482 : x
  2. Step 2: Convert to fraction form
    91,719/201,482 = 201,482/x
  3. Step 3: Cross multiply
    91,719x = 201,482 × 201,482
  4. Step 4: Simplify right side
    91,719x = 40,594,996,324
  5. Step 5: Solve for x
    x = 40,594,996,324/91,719
  6. Step 6: Final answer
    x = 442,601.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.