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Finding the Third Proportional to 141,150,574 and 305,750,983

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Solution

The third proportional to 141,150,574 and 305,750,983 is: 662,297,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150,574 : 305,750,983 = 305,750,983 : x
  2. Step 2: Convert to fraction form
    141,150,574/305,750,983 = 305,750,983/x
  3. Step 3: Cross multiply
    141,150,574x = 305,750,983 × 305,750,983
  4. Step 4: Simplify right side
    141,150,574x = 93,483,663,605,466,288
  5. Step 5: Solve for x
    x = 93,483,663,605,466,288/141,150,574
  6. Step 6: Final answer
    x = 662,297,438.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.