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Finding the Third Proportional to 91,126 and 197,228

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Solution

The third proportional to 91,126 and 197,228 is: 426,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,126 : 197,228 = 197,228 : x
  2. Step 2: Convert to fraction form
    91,126/197,228 = 197,228/x
  3. Step 3: Cross multiply
    91,126x = 197,228 × 197,228
  4. Step 4: Simplify right side
    91,126x = 38,898,883,984
  5. Step 5: Solve for x
    x = 38,898,883,984/91,126
  6. Step 6: Final answer
    x = 426,869.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.