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Finding the Third Proportional to 45,609 and 97,960.50

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Solution

The third proportional to 45,609 and 97,960.50 is: 210,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,609 : 97,960.50 = 97,960.50 : x
  2. Step 2: Convert to fraction form
    45,609/97,960.50 = 97,960.50/x
  3. Step 3: Cross multiply
    45,609x = 97,960.50 × 97,960.50
  4. Step 4: Simplify right side
    45,609x = 9,596,259,560.25
  5. Step 5: Solve for x
    x = 9,596,259,560.25/45,609
  6. Step 6: Final answer
    x = 210,402.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.