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Finding the Third Proportional to 278,263,203.19 and 604,474,194.38

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Solution

The third proportional to 278,263,203.19 and 604,474,194.38 is: 1,313,105,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,263,203.19 : 604,474,194.38 = 604,474,194.38 : x
  2. Step 2: Convert to fraction form
    278,263,203.19/604,474,194.38 = 604,474,194.38/x
  3. Step 3: Cross multiply
    278,263,203.19x = 604,474,194.38 × 604,474,194.38
  4. Step 4: Simplify right side
    278,263,203.19x = 365,389,051,665,305,280
  5. Step 5: Solve for x
    x = 365,389,051,665,305,280/278,263,203.19
  6. Step 6: Final answer
    x = 1,313,105,892.12

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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.