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Finding the Third Proportional to 46,166.06 and 99,228.80

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Solution

The third proportional to 46,166.06 and 99,228.80 is: 213,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.06 : 99,228.80 = 99,228.80 : x
  2. Step 2: Convert to fraction form
    46,166.06/99,228.80 = 99,228.80/x
  3. Step 3: Cross multiply
    46,166.06x = 99,228.80 × 99,228.80
  4. Step 4: Simplify right side
    46,166.06x = 9,846,354,129.26
  5. Step 5: Solve for x
    x = 9,846,354,129.26/46,166.06
  6. Step 6: Final answer
    x = 213,281.22

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Why These Related Problems?

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