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Finding the Third Proportional to 91,988 and 201,192

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Solution

The third proportional to 91,988 and 201,192 is: 440,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,988 : 201,192 = 201,192 : x
  2. Step 2: Convert to fraction form
    91,988/201,192 = 201,192/x
  3. Step 3: Cross multiply
    91,988x = 201,192 × 201,192
  4. Step 4: Simplify right side
    91,988x = 40,478,220,864
  5. Step 5: Solve for x
    x = 40,478,220,864/91,988
  6. Step 6: Final answer
    x = 440,038.06

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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.