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Finding the Third Proportional to 46,370 and 97,867

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Solution

The third proportional to 46,370 and 97,867 is: 206,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,370 : 97,867 = 97,867 : x
  2. Step 2: Convert to fraction form
    46,370/97,867 = 97,867/x
  3. Step 3: Cross multiply
    46,370x = 97,867 × 97,867
  4. Step 4: Simplify right side
    46,370x = 9,577,949,689
  5. Step 5: Solve for x
    x = 9,577,949,689/46,370
  6. Step 6: Final answer
    x = 206,554.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.