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Finding the Third Proportional to 91,823.63 and 200,809.13

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Solution

The third proportional to 91,823.63 and 200,809.13 is: 439,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,823.63 : 200,809.13 = 200,809.13 : x
  2. Step 2: Convert to fraction form
    91,823.63/200,809.13 = 200,809.13/x
  3. Step 3: Cross multiply
    91,823.63x = 200,809.13 × 200,809.13
  4. Step 4: Simplify right side
    91,823.63x = 40,324,304,683.27
  5. Step 5: Solve for x
    x = 40,324,304,683.27/91,823.63
  6. Step 6: Final answer
    x = 439,149.56

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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.