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Finding the Third Proportional to 109,269,854,052 and 243,664,388,388

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Solution

The third proportional to 109,269,854,052 and 243,664,388,388 is: 543,355,115,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269,854,052 : 243,664,388,388 = 243,664,388,388 : x
  2. Step 2: Convert to fraction form
    109,269,854,052/243,664,388,388 = 243,664,388,388/x
  3. Step 3: Cross multiply
    109,269,854,052x = 243,664,388,388 × 243,664,388,388
  4. Step 4: Simplify right side
    109,269,854,052x = 59,372,334,168,498,107,318,272
  5. Step 5: Solve for x
    x = 59,372,334,168,498,107,318,272/109,269,854,052
  6. Step 6: Final answer
    x = 543,355,115,494.56

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.