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Finding the Third Proportional to 149,150,598 and 351,589,428

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Solution

The third proportional to 149,150,598 and 351,589,428 is: 828,794,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150,598 : 351,589,428 = 351,589,428 : x
  2. Step 2: Convert to fraction form
    149,150,598/351,589,428 = 351,589,428/x
  3. Step 3: Cross multiply
    149,150,598x = 351,589,428 × 351,589,428
  4. Step 4: Simplify right side
    149,150,598x = 123,615,125,881,367,184
  5. Step 5: Solve for x
    x = 123,615,125,881,367,184/149,150,598
  6. Step 6: Final answer
    x = 828,794,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.