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Finding the Third Proportional to 46,197 and 99,780

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Solution

The third proportional to 46,197 and 99,780 is: 215,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,197 : 99,780 = 99,780 : x
  2. Step 2: Convert to fraction form
    46,197/99,780 = 99,780/x
  3. Step 3: Cross multiply
    46,197x = 99,780 × 99,780
  4. Step 4: Simplify right side
    46,197x = 9,956,048,400
  5. Step 5: Solve for x
    x = 9,956,048,400/46,197
  6. Step 6: Final answer
    x = 215,512.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.