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Finding the Third Proportional to 124,933,488,467 and 190,327,527,827

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Solution

The third proportional to 124,933,488,467 and 190,327,527,827 is: 289,950,823,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,933,488,467 : 190,327,527,827 = 190,327,527,827 : x
  2. Step 2: Convert to fraction form
    124,933,488,467/190,327,527,827 = 190,327,527,827/x
  3. Step 3: Cross multiply
    124,933,488,467x = 190,327,527,827 × 190,327,527,827
  4. Step 4: Simplify right side
    124,933,488,467x = 36,224,567,848,737,460,715,520
  5. Step 5: Solve for x
    x = 36,224,567,848,737,460,715,520/124,933,488,467
  6. Step 6: Final answer
    x = 289,950,823,379.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.