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Finding the Third Proportional to 123,734,308.50 and 268,750,272.75

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Solution

The third proportional to 123,734,308.50 and 268,750,272.75 is: 583,724,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,734,308.50 : 268,750,272.75 = 268,750,272.75 : x
  2. Step 2: Convert to fraction form
    123,734,308.50/268,750,272.75 = 268,750,272.75/x
  3. Step 3: Cross multiply
    123,734,308.50x = 268,750,272.75 × 268,750,272.75
  4. Step 4: Simplify right side
    123,734,308.50x = 72,226,709,103,199,392
  5. Step 5: Solve for x
    x = 72,226,709,103,199,392/123,734,308.50
  6. Step 6: Final answer
    x = 583,724,190.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.