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Finding the Third Proportional to 46,690 and 97,934

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Solution

The third proportional to 46,690 and 97,934 is: 205,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690 : 97,934 = 97,934 : x
  2. Step 2: Convert to fraction form
    46,690/97,934 = 97,934/x
  3. Step 3: Cross multiply
    46,690x = 97,934 × 97,934
  4. Step 4: Simplify right side
    46,690x = 9,591,068,356
  5. Step 5: Solve for x
    x = 9,591,068,356/46,690
  6. Step 6: Final answer
    x = 205,420.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.