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Finding the Third Proportional to 238,327,866 and 364,417,755

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Solution

The third proportional to 238,327,866 and 364,417,755 is: 557,216,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,327,866 : 364,417,755 = 364,417,755 : x
  2. Step 2: Convert to fraction form
    238,327,866/364,417,755 = 364,417,755/x
  3. Step 3: Cross multiply
    238,327,866x = 364,417,755 × 364,417,755
  4. Step 4: Simplify right side
    238,327,866x = 132,800,300,159,240,032
  5. Step 5: Solve for x
    x = 132,800,300,159,240,032/238,327,866
  6. Step 6: Final answer
    x = 557,216,839.09

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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.