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Finding the Third Proportional to 124,933,488,532.50 and 190,327,527,924

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Solution

The third proportional to 124,933,488,532.50 and 190,327,527,924 is: 289,950,823,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,933,488,532.50 : 190,327,527,924 = 190,327,527,924 : x
  2. Step 2: Convert to fraction form
    124,933,488,532.50/190,327,527,924 = 190,327,527,924/x
  3. Step 3: Cross multiply
    124,933,488,532.50x = 190,327,527,924 × 190,327,527,924
  4. Step 4: Simplify right side
    124,933,488,532.50x = 36,224,567,885,661,000,957,952
  5. Step 5: Solve for x
    x = 36,224,567,885,661,000,957,952/124,933,488,532.50
  6. Step 6: Final answer
    x = 289,950,823,523.49

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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.