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Finding the Third Proportional to 241,665,831 and 357,967,557

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Solution

The third proportional to 241,665,831 and 357,967,557 is: 530,239,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,665,831 : 357,967,557 = 357,967,557 : x
  2. Step 2: Convert to fraction form
    241,665,831/357,967,557 = 357,967,557/x
  3. Step 3: Cross multiply
    241,665,831x = 357,967,557 × 357,967,557
  4. Step 4: Simplify right side
    241,665,831x = 128,140,771,864,548,256
  5. Step 5: Solve for x
    x = 128,140,771,864,548,256/241,665,831
  6. Step 6: Final answer
    x = 530,239,510.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.