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Finding the Third Proportional to 46,207.97 and 101,034.84

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Solution

The third proportional to 46,207.97 and 101,034.84 is: 220,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,207.97 : 101,034.84 = 101,034.84 : x
  2. Step 2: Convert to fraction form
    46,207.97/101,034.84 = 101,034.84/x
  3. Step 3: Cross multiply
    46,207.97x = 101,034.84 × 101,034.84
  4. Step 4: Simplify right side
    46,207.97x = 10,208,039,651.59
  5. Step 5: Solve for x
    x = 10,208,039,651.59/46,207.97
  6. Step 6: Final answer
    x = 220,915.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.