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Finding the Third Proportional to 101,366 and 215,854

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Solution

The third proportional to 101,366 and 215,854 is: 459,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,366 : 215,854 = 215,854 : x
  2. Step 2: Convert to fraction form
    101,366/215,854 = 215,854/x
  3. Step 3: Cross multiply
    101,366x = 215,854 × 215,854
  4. Step 4: Simplify right side
    101,366x = 46,592,949,316
  5. Step 5: Solve for x
    x = 46,592,949,316/101,366
  6. Step 6: Final answer
    x = 459,650.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.