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Finding the Third Proportional to 109,089,523 and 242,393,996

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Solution

The third proportional to 109,089,523 and 242,393,996 is: 538,592,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,523 : 242,393,996 = 242,393,996 : x
  2. Step 2: Convert to fraction form
    109,089,523/242,393,996 = 242,393,996/x
  3. Step 3: Cross multiply
    109,089,523x = 242,393,996 × 242,393,996
  4. Step 4: Simplify right side
    109,089,523x = 58,754,849,296,848,016
  5. Step 5: Solve for x
    x = 58,754,849,296,848,016/109,089,523
  6. Step 6: Final answer
    x = 538,592,961.83

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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.