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Finding the Third Proportional to 45,492 and 99,724.50

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Solution

The third proportional to 45,492 and 99,724.50 is: 218,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,492 : 99,724.50 = 99,724.50 : x
  2. Step 2: Convert to fraction form
    45,492/99,724.50 = 99,724.50/x
  3. Step 3: Cross multiply
    45,492x = 99,724.50 × 99,724.50
  4. Step 4: Simplify right side
    45,492x = 9,944,975,900.25
  5. Step 5: Solve for x
    x = 9,944,975,900.25/45,492
  6. Step 6: Final answer
    x = 218,609.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.