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Finding the Third Proportional to 92,395.69 and 198,594.28

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Solution

The third proportional to 92,395.69 and 198,594.28 is: 426,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,395.69 : 198,594.28 = 198,594.28 : x
  2. Step 2: Convert to fraction form
    92,395.69/198,594.28 = 198,594.28/x
  3. Step 3: Cross multiply
    92,395.69x = 198,594.28 × 198,594.28
  4. Step 4: Simplify right side
    92,395.69x = 39,439,688,545.20
  5. Step 5: Solve for x
    x = 39,439,688,545.20/92,395.69
  6. Step 6: Final answer
    x = 426,856.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.