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Finding the Third Proportional to 45,108 and 97,436

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Solution

The third proportional to 45,108 and 97,436 is: 210,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,108 : 97,436 = 97,436 : x
  2. Step 2: Convert to fraction form
    45,108/97,436 = 97,436/x
  3. Step 3: Cross multiply
    45,108x = 97,436 × 97,436
  4. Step 4: Simplify right side
    45,108x = 9,493,774,096
  5. Step 5: Solve for x
    x = 9,493,774,096/45,108
  6. Step 6: Final answer
    x = 210,467.64

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Why These Related Problems?

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