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Finding the Third Proportional to 46,180 and 97,904

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Solution

The third proportional to 46,180 and 97,904 is: 207,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,180 : 97,904 = 97,904 : x
  2. Step 2: Convert to fraction form
    46,180/97,904 = 97,904/x
  3. Step 3: Cross multiply
    46,180x = 97,904 × 97,904
  4. Step 4: Simplify right side
    46,180x = 9,585,193,216
  5. Step 5: Solve for x
    x = 9,585,193,216/46,180
  6. Step 6: Final answer
    x = 207,561.57

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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.