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Finding the Third Proportional to 50,148,415 and 109,199,650

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Solution

The third proportional to 50,148,415 and 109,199,650 is: 237,785,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148,415 : 109,199,650 = 109,199,650 : x
  2. Step 2: Convert to fraction form
    50,148,415/109,199,650 = 109,199,650/x
  3. Step 3: Cross multiply
    50,148,415x = 109,199,650 × 109,199,650
  4. Step 4: Simplify right side
    50,148,415x = 11,924,563,560,122,500
  5. Step 5: Solve for x
    x = 11,924,563,560,122,500/50,148,415
  6. Step 6: Final answer
    x = 237,785,452.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.