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Finding the Third Proportional to 136,498,052 and 209,309,334

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Solution

The third proportional to 136,498,052 and 209,309,334 is: 320,959,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,498,052 : 209,309,334 = 209,309,334 : x
  2. Step 2: Convert to fraction form
    136,498,052/209,309,334 = 209,309,334/x
  3. Step 3: Cross multiply
    136,498,052x = 209,309,334 × 209,309,334
  4. Step 4: Simplify right side
    136,498,052x = 43,810,397,299,523,552
  5. Step 5: Solve for x
    x = 43,810,397,299,523,552/136,498,052
  6. Step 6: Final answer
    x = 320,959,872.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.