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Finding the Third Proportional to 102,612,174.25 and 159,020,616.50

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Solution

The third proportional to 102,612,174.25 and 159,020,616.50 is: 246,438,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612,174.25 : 159,020,616.50 = 159,020,616.50 : x
  2. Step 2: Convert to fraction form
    102,612,174.25/159,020,616.50 = 159,020,616.50/x
  3. Step 3: Cross multiply
    102,612,174.25x = 159,020,616.50 × 159,020,616.50
  4. Step 4: Simplify right side
    102,612,174.25x = 25,287,556,472,040,072
  5. Step 5: Solve for x
    x = 25,287,556,472,040,072/102,612,174.25
  6. Step 6: Final answer
    x = 246,438,170.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.