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Finding the Third Proportional to 46,065 and 99,907

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Solution

The third proportional to 46,065 and 99,907 is: 216,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,065 : 99,907 = 99,907 : x
  2. Step 2: Convert to fraction form
    46,065/99,907 = 99,907/x
  3. Step 3: Cross multiply
    46,065x = 99,907 × 99,907
  4. Step 4: Simplify right side
    46,065x = 9,981,408,649
  5. Step 5: Solve for x
    x = 9,981,408,649/46,065
  6. Step 6: Final answer
    x = 216,680.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.