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Finding the Third Proportional to 46,186.88 and 99,758.25

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Solution

The third proportional to 46,186.88 and 99,758.25 is: 215,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,186.88 : 99,758.25 = 99,758.25 : x
  2. Step 2: Convert to fraction form
    46,186.88/99,758.25 = 99,758.25/x
  3. Step 3: Cross multiply
    46,186.88x = 99,758.25 × 99,758.25
  4. Step 4: Simplify right side
    46,186.88x = 9,951,708,443.06
  5. Step 5: Solve for x
    x = 9,951,708,443.06/46,186.88
  6. Step 6: Final answer
    x = 215,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.