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Finding the Third Proportional to 109,089,522 and 242,393,994

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Solution

The third proportional to 109,089,522 and 242,393,994 is: 538,592,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,522 : 242,393,994 = 242,393,994 : x
  2. Step 2: Convert to fraction form
    109,089,522/242,393,994 = 242,393,994/x
  3. Step 3: Cross multiply
    109,089,522x = 242,393,994 × 242,393,994
  4. Step 4: Simplify right side
    109,089,522x = 58,754,848,327,272,032
  5. Step 5: Solve for x
    x = 58,754,848,327,272,032/109,089,522
  6. Step 6: Final answer
    x = 538,592,957.88

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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.