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Finding the Third Proportional to 45,927 and 99,098.44

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Solution

The third proportional to 45,927 and 99,098.44 is: 213,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 99,098.44 = 99,098.44 : x
  2. Step 2: Convert to fraction form
    45,927/99,098.44 = 99,098.44/x
  3. Step 3: Cross multiply
    45,927x = 99,098.44 × 99,098.44
  4. Step 4: Simplify right side
    45,927x = 9,820,500,314.94
  5. Step 5: Solve for x
    x = 9,820,500,314.94/45,927
  6. Step 6: Final answer
    x = 213,828.47

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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.