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Finding the Third Proportional to 44,943.50 and 97,731

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Solution

The third proportional to 44,943.50 and 97,731 is: 212,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,943.50 : 97,731 = 97,731 : x
  2. Step 2: Convert to fraction form
    44,943.50/97,731 = 97,731/x
  3. Step 3: Cross multiply
    44,943.50x = 97,731 × 97,731
  4. Step 4: Simplify right side
    44,943.50x = 9,551,348,361
  5. Step 5: Solve for x
    x = 9,551,348,361/44,943.50
  6. Step 6: Final answer
    x = 212,519.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.