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Finding the Third Proportional to 159,536,334 and 347,024,988

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Solution

The third proportional to 159,536,334 and 347,024,988 is: 754,852,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,334 : 347,024,988 = 347,024,988 : x
  2. Step 2: Convert to fraction form
    159,536,334/347,024,988 = 347,024,988/x
  3. Step 3: Cross multiply
    159,536,334x = 347,024,988 × 347,024,988
  4. Step 4: Simplify right side
    159,536,334x = 120,426,342,296,400,144
  5. Step 5: Solve for x
    x = 120,426,342,296,400,144/159,536,334
  6. Step 6: Final answer
    x = 754,852,134.79

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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.