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Finding the Third Proportional to 91,015,427.25 and 200,582,697.09

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Solution

The third proportional to 91,015,427.25 and 200,582,697.09 is: 442,050,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,015,427.25 : 200,582,697.09 = 200,582,697.09 : x
  2. Step 2: Convert to fraction form
    91,015,427.25/200,582,697.09 = 200,582,697.09/x
  3. Step 3: Cross multiply
    91,015,427.25x = 200,582,697.09 × 200,582,697.09
  4. Step 4: Simplify right side
    91,015,427.25x = 40,233,418,373,403,064
  5. Step 5: Solve for x
    x = 40,233,418,373,403,064/91,015,427.25
  6. Step 6: Final answer
    x = 442,050,535.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.