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Finding the Third Proportional to 46,045.97 and 99,176.91

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Solution

The third proportional to 46,045.97 and 99,176.91 is: 213,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045.97 : 99,176.91 = 99,176.91 : x
  2. Step 2: Convert to fraction form
    46,045.97/99,176.91 = 99,176.91/x
  3. Step 3: Cross multiply
    46,045.97x = 99,176.91 × 99,176.91
  4. Step 4: Simplify right side
    46,045.97x = 9,836,058,733.32
  5. Step 5: Solve for x
    x = 9,836,058,733.32/46,045.97
  6. Step 6: Final answer
    x = 213,613.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.