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Finding the Third Proportional to 100,606.88 and 140,998.50

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Solution

The third proportional to 100,606.88 and 140,998.50 is: 197,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,606.88 : 140,998.50 = 140,998.50 : x
  2. Step 2: Convert to fraction form
    100,606.88/140,998.50 = 140,998.50/x
  3. Step 3: Cross multiply
    100,606.88x = 140,998.50 × 140,998.50
  4. Step 4: Simplify right side
    100,606.88x = 19,880,577,002.25
  5. Step 5: Solve for x
    x = 19,880,577,002.25/100,606.88
  6. Step 6: Final answer
    x = 197,606.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.