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Finding the Third Proportional to 45,311 and 97,913

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Solution

The third proportional to 45,311 and 97,913 is: 211,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311 : 97,913 = 97,913 : x
  2. Step 2: Convert to fraction form
    45,311/97,913 = 97,913/x
  3. Step 3: Cross multiply
    45,311x = 97,913 × 97,913
  4. Step 4: Simplify right side
    45,311x = 9,586,955,569
  5. Step 5: Solve for x
    x = 9,586,955,569/45,311
  6. Step 6: Final answer
    x = 211,581.20

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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.