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Finding the Third Proportional to 266,087,936 and 398,046,912

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Solution

The third proportional to 266,087,936 and 398,046,912 is: 595,447,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,087,936 : 398,046,912 = 398,046,912 : x
  2. Step 2: Convert to fraction form
    266,087,936/398,046,912 = 398,046,912/x
  3. Step 3: Cross multiply
    266,087,936x = 398,046,912 × 398,046,912
  4. Step 4: Simplify right side
    266,087,936x = 158,441,344,152,735,744
  5. Step 5: Solve for x
    x = 158,441,344,152,735,744/266,087,936
  6. Step 6: Final answer
    x = 595,447,304.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.