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Finding the Third Proportional to 100,225.50 and 154,117.50

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Solution

The third proportional to 100,225.50 and 154,117.50 is: 236,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225.50 : 154,117.50 = 154,117.50 : x
  2. Step 2: Convert to fraction form
    100,225.50/154,117.50 = 154,117.50/x
  3. Step 3: Cross multiply
    100,225.50x = 154,117.50 × 154,117.50
  4. Step 4: Simplify right side
    100,225.50x = 23,752,203,806.25
  5. Step 5: Solve for x
    x = 23,752,203,806.25/100,225.50
  6. Step 6: Final answer
    x = 236,987.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.