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Finding the Third Proportional to 109,089,524 and 242,393,998

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Solution

The third proportional to 109,089,524 and 242,393,998 is: 538,592,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,524 : 242,393,998 = 242,393,998 : x
  2. Step 2: Convert to fraction form
    109,089,524/242,393,998 = 242,393,998/x
  3. Step 3: Cross multiply
    109,089,524x = 242,393,998 × 242,393,998
  4. Step 4: Simplify right side
    109,089,524x = 58,754,850,266,424,000
  5. Step 5: Solve for x
    x = 58,754,850,266,424,000/109,089,524
  6. Step 6: Final answer
    x = 538,592,965.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.