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Finding the Third Proportional to 142,826,574 and 201,131,289

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Solution

The third proportional to 142,826,574 and 201,131,289 is: 283,237,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,826,574 : 201,131,289 = 201,131,289 : x
  2. Step 2: Convert to fraction form
    142,826,574/201,131,289 = 201,131,289/x
  3. Step 3: Cross multiply
    142,826,574x = 201,131,289 × 201,131,289
  4. Step 4: Simplify right side
    142,826,574x = 40,453,795,414,801,520
  5. Step 5: Solve for x
    x = 40,453,795,414,801,520/142,826,574
  6. Step 6: Final answer
    x = 283,237,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.