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Finding the Third Proportional to 46,046.81 and 100,293.19

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Solution

The third proportional to 46,046.81 and 100,293.19 is: 218,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046.81 : 100,293.19 = 100,293.19 : x
  2. Step 2: Convert to fraction form
    46,046.81/100,293.19 = 100,293.19/x
  3. Step 3: Cross multiply
    46,046.81x = 100,293.19 × 100,293.19
  4. Step 4: Simplify right side
    46,046.81x = 10,058,723,458.91
  5. Step 5: Solve for x
    x = 10,058,723,458.91/46,046.81
  6. Step 6: Final answer
    x = 218,445.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.