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Finding the Third Proportional to 91,970 and 201,604

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Solution

The third proportional to 91,970 and 201,604 is: 441,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970 : 201,604 = 201,604 : x
  2. Step 2: Convert to fraction form
    91,970/201,604 = 201,604/x
  3. Step 3: Cross multiply
    91,970x = 201,604 × 201,604
  4. Step 4: Simplify right side
    91,970x = 40,644,172,816
  5. Step 5: Solve for x
    x = 40,644,172,816/91,970
  6. Step 6: Final answer
    x = 441,928.59

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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.