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Finding the Third Proportional to 123,734,308.50 and 268,750,273.50

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Solution

The third proportional to 123,734,308.50 and 268,750,273.50 is: 583,724,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,734,308.50 : 268,750,273.50 = 268,750,273.50 : x
  2. Step 2: Convert to fraction form
    123,734,308.50/268,750,273.50 = 268,750,273.50/x
  3. Step 3: Cross multiply
    123,734,308.50x = 268,750,273.50 × 268,750,273.50
  4. Step 4: Simplify right side
    123,734,308.50x = 72,226,709,506,324,800
  5. Step 5: Solve for x
    x = 72,226,709,506,324,800/123,734,308.50
  6. Step 6: Final answer
    x = 583,724,194.06

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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.