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Finding the Third Proportional to 46,045.97 and 100,290.66

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Solution

The third proportional to 46,045.97 and 100,290.66 is: 218,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045.97 : 100,290.66 = 100,290.66 : x
  2. Step 2: Convert to fraction form
    46,045.97/100,290.66 = 100,290.66/x
  3. Step 3: Cross multiply
    46,045.97x = 100,290.66 × 100,290.66
  4. Step 4: Simplify right side
    46,045.97x = 10,058,215,731.06
  5. Step 5: Solve for x
    x = 10,058,215,731.06/46,045.97
  6. Step 6: Final answer
    x = 218,438.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.