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Finding the Third Proportional to 100,643.63 and 155,643.19

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Solution

The third proportional to 100,643.63 and 155,643.19 is: 240,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.63 : 155,643.19 = 155,643.19 : x
  2. Step 2: Convert to fraction form
    100,643.63/155,643.19 = 155,643.19/x
  3. Step 3: Cross multiply
    100,643.63x = 155,643.19 × 155,643.19
  4. Step 4: Simplify right side
    100,643.63x = 24,224,801,815.16
  5. Step 5: Solve for x
    x = 24,224,801,815.16/100,643.63
  6. Step 6: Final answer
    x = 240,698.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.