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Finding the Third Proportional to 91,778 and 201,633

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Solution

The third proportional to 91,778 and 201,633 is: 442,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,778 : 201,633 = 201,633 : x
  2. Step 2: Convert to fraction form
    91,778/201,633 = 201,633/x
  3. Step 3: Cross multiply
    91,778x = 201,633 × 201,633
  4. Step 4: Simplify right side
    91,778x = 40,655,866,689
  5. Step 5: Solve for x
    x = 40,655,866,689/91,778
  6. Step 6: Final answer
    x = 442,980.53

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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.