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Finding the Third Proportional to 99,492 and 154,282.50

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Solution

The third proportional to 99,492 and 154,282.50 is: 239,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,492 : 154,282.50 = 154,282.50 : x
  2. Step 2: Convert to fraction form
    99,492/154,282.50 = 154,282.50/x
  3. Step 3: Cross multiply
    99,492x = 154,282.50 × 154,282.50
  4. Step 4: Simplify right side
    99,492x = 23,803,089,806.25
  5. Step 5: Solve for x
    x = 23,803,089,806.25/99,492
  6. Step 6: Final answer
    x = 239,246.27

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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.