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Finding the Third Proportional to 45,932 and 99,208

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Solution

The third proportional to 45,932 and 99,208 is: 214,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,932 : 99,208 = 99,208 : x
  2. Step 2: Convert to fraction form
    45,932/99,208 = 99,208/x
  3. Step 3: Cross multiply
    45,932x = 99,208 × 99,208
  4. Step 4: Simplify right side
    45,932x = 9,842,227,264
  5. Step 5: Solve for x
    x = 9,842,227,264/45,932
  6. Step 6: Final answer
    x = 214,278.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.