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Finding the Third Proportional to 45,329 and 99,719

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Solution

The third proportional to 45,329 and 99,719 is: 219,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,329 : 99,719 = 99,719 : x
  2. Step 2: Convert to fraction form
    45,329/99,719 = 99,719/x
  3. Step 3: Cross multiply
    45,329x = 99,719 × 99,719
  4. Step 4: Simplify right side
    45,329x = 9,943,878,961
  5. Step 5: Solve for x
    x = 9,943,878,961/45,329
  6. Step 6: Final answer
    x = 219,371.24

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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.