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Finding the Third Proportional to 46,883 and 100,540

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Solution

The third proportional to 46,883 and 100,540 is: 215,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,883 : 100,540 = 100,540 : x
  2. Step 2: Convert to fraction form
    46,883/100,540 = 100,540/x
  3. Step 3: Cross multiply
    46,883x = 100,540 × 100,540
  4. Step 4: Simplify right side
    46,883x = 10,108,291,600
  5. Step 5: Solve for x
    x = 10,108,291,600/46,883
  6. Step 6: Final answer
    x = 215,606.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.