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Finding the Third Proportional to 92,859.75 and 216,975.38

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Solution

The third proportional to 92,859.75 and 216,975.38 is: 506,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,859.75 : 216,975.38 = 216,975.38 : x
  2. Step 2: Convert to fraction form
    92,859.75/216,975.38 = 216,975.38/x
  3. Step 3: Cross multiply
    92,859.75x = 216,975.38 × 216,975.38
  4. Step 4: Simplify right side
    92,859.75x = 47,078,313,356.39
  5. Step 5: Solve for x
    x = 47,078,313,356.39/92,859.75
  6. Step 6: Final answer
    x = 506,982.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.