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Finding the Third Proportional to 91,860.75 and 198,946.13

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Solution

The third proportional to 91,860.75 and 198,946.13 is: 430,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,860.75 : 198,946.13 = 198,946.13 : x
  2. Step 2: Convert to fraction form
    91,860.75/198,946.13 = 198,946.13/x
  3. Step 3: Cross multiply
    91,860.75x = 198,946.13 × 198,946.13
  4. Step 4: Simplify right side
    91,860.75x = 39,579,560,652.52
  5. Step 5: Solve for x
    x = 39,579,560,652.52/91,860.75
  6. Step 6: Final answer
    x = 430,864.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.