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Finding the Third Proportional to 109,089,525 and 242,394,000

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Solution

The third proportional to 109,089,525 and 242,394,000 is: 538,592,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,525 : 242,394,000 = 242,394,000 : x
  2. Step 2: Convert to fraction form
    109,089,525/242,394,000 = 242,394,000/x
  3. Step 3: Cross multiply
    109,089,525x = 242,394,000 × 242,394,000
  4. Step 4: Simplify right side
    109,089,525x = 58,754,851,236,000,000
  5. Step 5: Solve for x
    x = 58,754,851,236,000,000/109,089,525
  6. Step 6: Final answer
    x = 538,592,969.73

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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.