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Finding the Third Proportional to 46,765.13 and 96,855.19

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Solution

The third proportional to 46,765.13 and 96,855.19 is: 200,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765.13 : 96,855.19 = 96,855.19 : x
  2. Step 2: Convert to fraction form
    46,765.13/96,855.19 = 96,855.19/x
  3. Step 3: Cross multiply
    46,765.13x = 96,855.19 × 96,855.19
  4. Step 4: Simplify right side
    46,765.13x = 9,380,927,345.66
  5. Step 5: Solve for x
    x = 9,380,927,345.66/46,765.13
  6. Step 6: Final answer
    x = 200,596.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.