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Finding the Third Proportional to 91,764 and 200,808

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Solution

The third proportional to 91,764 and 200,808 is: 439,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764 : 200,808 = 200,808 : x
  2. Step 2: Convert to fraction form
    91,764/200,808 = 200,808/x
  3. Step 3: Cross multiply
    91,764x = 200,808 × 200,808
  4. Step 4: Simplify right side
    91,764x = 40,323,852,864
  5. Step 5: Solve for x
    x = 40,323,852,864/91,764
  6. Step 6: Final answer
    x = 439,429.98

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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.