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Finding the Third Proportional to 46,780 and 99,320

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Solution

The third proportional to 46,780 and 99,320 is: 210,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 99,320 = 99,320 : x
  2. Step 2: Convert to fraction form
    46,780/99,320 = 99,320/x
  3. Step 3: Cross multiply
    46,780x = 99,320 × 99,320
  4. Step 4: Simplify right side
    46,780x = 9,864,462,400
  5. Step 5: Solve for x
    x = 9,864,462,400/46,780
  6. Step 6: Final answer
    x = 210,869.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.