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Finding the Third Proportional to 45,462 and 99,948

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Solution

The third proportional to 45,462 and 99,948 is: 219,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462 : 99,948 = 99,948 : x
  2. Step 2: Convert to fraction form
    45,462/99,948 = 99,948/x
  3. Step 3: Cross multiply
    45,462x = 99,948 × 99,948
  4. Step 4: Simplify right side
    45,462x = 9,989,602,704
  5. Step 5: Solve for x
    x = 9,989,602,704/45,462
  6. Step 6: Final answer
    x = 219,735.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.