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Finding the Third Proportional to 45,389 and 97,096

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Solution

The third proportional to 45,389 and 97,096 is: 207,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,389 : 97,096 = 97,096 : x
  2. Step 2: Convert to fraction form
    45,389/97,096 = 97,096/x
  3. Step 3: Cross multiply
    45,389x = 97,096 × 97,096
  4. Step 4: Simplify right side
    45,389x = 9,427,633,216
  5. Step 5: Solve for x
    x = 9,427,633,216/45,389
  6. Step 6: Final answer
    x = 207,707.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.