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Finding the Third Proportional to 266,087,926 and 398,046,896

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Solution

The third proportional to 266,087,926 and 398,046,896 is: 595,447,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,087,926 : 398,046,896 = 398,046,896 : x
  2. Step 2: Convert to fraction form
    266,087,926/398,046,896 = 398,046,896/x
  3. Step 3: Cross multiply
    266,087,926x = 398,046,896 × 398,046,896
  4. Step 4: Simplify right side
    266,087,926x = 158,441,331,415,234,816
  5. Step 5: Solve for x
    x = 158,441,331,415,234,816/266,087,926
  6. Step 6: Final answer
    x = 595,447,278.64

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Why These Related Problems?

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