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Finding the Third Proportional to 133,728,938 and 291,198,726

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Solution

The third proportional to 133,728,938 and 291,198,726 is: 634,093,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728,938 : 291,198,726 = 291,198,726 : x
  2. Step 2: Convert to fraction form
    133,728,938/291,198,726 = 291,198,726/x
  3. Step 3: Cross multiply
    133,728,938x = 291,198,726 × 291,198,726
  4. Step 4: Simplify right side
    133,728,938x = 84,796,698,024,023,072
  5. Step 5: Solve for x
    x = 84,796,698,024,023,072/133,728,938
  6. Step 6: Final answer
    x = 634,093,856.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.