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Finding the Third Proportional to 103,808.46 and 162,629.65

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Solution

The third proportional to 103,808.46 and 162,629.65 is: 254,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808.46 : 162,629.65 = 162,629.65 : x
  2. Step 2: Convert to fraction form
    103,808.46/162,629.65 = 162,629.65/x
  3. Step 3: Cross multiply
    103,808.46x = 162,629.65 × 162,629.65
  4. Step 4: Simplify right side
    103,808.46x = 26,448,402,550.90
  5. Step 5: Solve for x
    x = 26,448,402,550.90/103,808.46
  6. Step 6: Final answer
    x = 254,780.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.