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Finding the Third Proportional to 156,646,548 and 339,327,576

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Solution

The third proportional to 156,646,548 and 339,327,576 is: 735,051,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646,548 : 339,327,576 = 339,327,576 : x
  2. Step 2: Convert to fraction form
    156,646,548/339,327,576 = 339,327,576/x
  3. Step 3: Cross multiply
    156,646,548x = 339,327,576 × 339,327,576
  4. Step 4: Simplify right side
    156,646,548x = 115,143,203,834,035,776
  5. Step 5: Solve for x
    x = 115,143,203,834,035,776/156,646,548
  6. Step 6: Final answer
    x = 735,051,013.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.