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Finding the Third Proportional to 45,108 and 97,435.50

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Solution

The third proportional to 45,108 and 97,435.50 is: 210,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,108 : 97,435.50 = 97,435.50 : x
  2. Step 2: Convert to fraction form
    45,108/97,435.50 = 97,435.50/x
  3. Step 3: Cross multiply
    45,108x = 97,435.50 × 97,435.50
  4. Step 4: Simplify right side
    45,108x = 9,493,676,660.25
  5. Step 5: Solve for x
    x = 9,493,676,660.25/45,108
  6. Step 6: Final answer
    x = 210,465.48

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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.