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Finding the Third Proportional to 107,186 and 229,136

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Solution

The third proportional to 107,186 and 229,136 is: 489,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,186 : 229,136 = 229,136 : x
  2. Step 2: Convert to fraction form
    107,186/229,136 = 229,136/x
  3. Step 3: Cross multiply
    107,186x = 229,136 × 229,136
  4. Step 4: Simplify right side
    107,186x = 52,503,306,496
  5. Step 5: Solve for x
    x = 52,503,306,496/107,186
  6. Step 6: Final answer
    x = 489,833.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.