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Finding the Third Proportional to 266,087,916 and 398,046,882

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Solution

The third proportional to 266,087,916 and 398,046,882 is: 595,447,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,087,916 : 398,046,882 = 398,046,882 : x
  2. Step 2: Convert to fraction form
    266,087,916/398,046,882 = 398,046,882/x
  3. Step 3: Cross multiply
    266,087,916x = 398,046,882 × 398,046,882
  4. Step 4: Simplify right side
    266,087,916x = 158,441,320,269,921,920
  5. Step 5: Solve for x
    x = 158,441,320,269,921,920/266,087,916
  6. Step 6: Final answer
    x = 595,447,259.13

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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.