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Finding the Third Proportional to 143,942,481 and 313,442,082

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Solution

The third proportional to 143,942,481 and 313,442,082 is: 682,536,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,942,481 : 313,442,082 = 313,442,082 : x
  2. Step 2: Convert to fraction form
    143,942,481/313,442,082 = 313,442,082/x
  3. Step 3: Cross multiply
    143,942,481x = 313,442,082 × 313,442,082
  4. Step 4: Simplify right side
    143,942,481x = 98,245,938,768,494,720
  5. Step 5: Solve for x
    x = 98,245,938,768,494,720/143,942,481
  6. Step 6: Final answer
    x = 682,536,094.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.