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Finding the Third Proportional to 122,614,820 and 204,349,857

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Solution

The third proportional to 122,614,820 and 204,349,857 is: 340,569,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,614,820 : 204,349,857 = 204,349,857 : x
  2. Step 2: Convert to fraction form
    122,614,820/204,349,857 = 204,349,857/x
  3. Step 3: Cross multiply
    122,614,820x = 204,349,857 × 204,349,857
  4. Step 4: Simplify right side
    122,614,820x = 41,758,864,055,920,448
  5. Step 5: Solve for x
    x = 41,758,864,055,920,448/122,614,820
  6. Step 6: Final answer
    x = 340,569,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.