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Finding the Third Proportional to 46,408 and 100,688

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Solution

The third proportional to 46,408 and 100,688 is: 218,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408 : 100,688 = 100,688 : x
  2. Step 2: Convert to fraction form
    46,408/100,688 = 100,688/x
  3. Step 3: Cross multiply
    46,408x = 100,688 × 100,688
  4. Step 4: Simplify right side
    46,408x = 10,138,073,344
  5. Step 5: Solve for x
    x = 10,138,073,344/46,408
  6. Step 6: Final answer
    x = 218,455.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.