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Finding the Third Proportional to 123,086,020.50 and 194,903,597.25

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Solution

The third proportional to 123,086,020.50 and 194,903,597.25 is: 308,624,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,020.50 : 194,903,597.25 = 194,903,597.25 : x
  2. Step 2: Convert to fraction form
    123,086,020.50/194,903,597.25 = 194,903,597.25/x
  3. Step 3: Cross multiply
    123,086,020.50x = 194,903,597.25 × 194,903,597.25
  4. Step 4: Simplify right side
    123,086,020.50x = 37,987,412,220,990,208
  5. Step 5: Solve for x
    x = 37,987,412,220,990,208/123,086,020.50
  6. Step 6: Final answer
    x = 308,624,911.80

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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.