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Finding the Third Proportional to 45,446.06 and 99,154.13

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Solution

The third proportional to 45,446.06 and 99,154.13 is: 216,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446.06 : 99,154.13 = 99,154.13 : x
  2. Step 2: Convert to fraction form
    45,446.06/99,154.13 = 99,154.13/x
  3. Step 3: Cross multiply
    45,446.06x = 99,154.13 × 99,154.13
  4. Step 4: Simplify right side
    45,446.06x = 9,831,540,504.52
  5. Step 5: Solve for x
    x = 9,831,540,504.52/45,446.06
  6. Step 6: Final answer
    x = 216,334.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.