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Finding the Third Proportional to 102,612,174 and 159,020,616.75

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Solution

The third proportional to 102,612,174 and 159,020,616.75 is: 246,438,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612,174 : 159,020,616.75 = 159,020,616.75 : x
  2. Step 2: Convert to fraction form
    102,612,174/159,020,616.75 = 159,020,616.75/x
  3. Step 3: Cross multiply
    102,612,174x = 159,020,616.75 × 159,020,616.75
  4. Step 4: Simplify right side
    102,612,174x = 25,287,556,551,550,380
  5. Step 5: Solve for x
    x = 25,287,556,551,550,380/102,612,174
  6. Step 6: Final answer
    x = 246,438,171.67

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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.