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Finding the Third Proportional to 42,911 and 99,664.50

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Solution

The third proportional to 42,911 and 99,664.50 is: 231,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,911 : 99,664.50 = 99,664.50 : x
  2. Step 2: Convert to fraction form
    42,911/99,664.50 = 99,664.50/x
  3. Step 3: Cross multiply
    42,911x = 99,664.50 × 99,664.50
  4. Step 4: Simplify right side
    42,911x = 9,933,012,560.25
  5. Step 5: Solve for x
    x = 9,933,012,560.25/42,911
  6. Step 6: Final answer
    x = 231,479.40

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.