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Finding the Third Proportional to 123,086,027.25 and 194,903,607.38

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Solution

The third proportional to 123,086,027.25 and 194,903,607.38 is: 308,624,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,027.25 : 194,903,607.38 = 194,903,607.38 : x
  2. Step 2: Convert to fraction form
    123,086,027.25/194,903,607.38 = 194,903,607.38/x
  3. Step 3: Cross multiply
    123,086,027.25x = 194,903,607.38 × 194,903,607.38
  4. Step 4: Simplify right side
    123,086,027.25x = 37,987,416,167,788,152
  5. Step 5: Solve for x
    x = 37,987,416,167,788,152/123,086,027.25
  6. Step 6: Final answer
    x = 308,624,926.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.