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Finding the Third Proportional to 246,172,067 and 389,807,233.50

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Solution

The third proportional to 246,172,067 and 389,807,233.50 is: 617,249,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,172,067 : 389,807,233.50 = 389,807,233.50 : x
  2. Step 2: Convert to fraction form
    246,172,067/389,807,233.50 = 389,807,233.50/x
  3. Step 3: Cross multiply
    246,172,067x = 389,807,233.50 × 389,807,233.50
  4. Step 4: Simplify right side
    246,172,067x = 151,949,679,288,923,520
  5. Step 5: Solve for x
    x = 151,949,679,288,923,520/246,172,067
  6. Step 6: Final answer
    x = 617,249,881.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.