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Finding the Third Proportional to 65,143,622 and 143,198,076

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Solution

The third proportional to 65,143,622 and 143,198,076 is: 314,776,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143,622 : 143,198,076 = 143,198,076 : x
  2. Step 2: Convert to fraction form
    65,143,622/143,198,076 = 143,198,076/x
  3. Step 3: Cross multiply
    65,143,622x = 143,198,076 × 143,198,076
  4. Step 4: Simplify right side
    65,143,622x = 20,505,688,970,101,776
  5. Step 5: Solve for x
    x = 20,505,688,970,101,776/65,143,622
  6. Step 6: Final answer
    x = 314,776,617.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.