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Finding the Third Proportional to 45,484 and 99,898

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Solution

The third proportional to 45,484 and 99,898 is: 219,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,484 : 99,898 = 99,898 : x
  2. Step 2: Convert to fraction form
    45,484/99,898 = 99,898/x
  3. Step 3: Cross multiply
    45,484x = 99,898 × 99,898
  4. Step 4: Simplify right side
    45,484x = 9,979,610,404
  5. Step 5: Solve for x
    x = 9,979,610,404/45,484
  6. Step 6: Final answer
    x = 219,409.25

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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.