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Finding the Third Proportional to 96,055 and 210,793

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Solution

The third proportional to 96,055 and 210,793 is: 462,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,055 : 210,793 = 210,793 : x
  2. Step 2: Convert to fraction form
    96,055/210,793 = 210,793/x
  3. Step 3: Cross multiply
    96,055x = 210,793 × 210,793
  4. Step 4: Simplify right side
    96,055x = 44,433,688,849
  5. Step 5: Solve for x
    x = 44,433,688,849/96,055
  6. Step 6: Final answer
    x = 462,585.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.