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Finding the Third Proportional to 65,809,179 and 142,601,463

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Solution

The third proportional to 65,809,179 and 142,601,463 is: 309,002,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809,179 : 142,601,463 = 142,601,463 : x
  2. Step 2: Convert to fraction form
    65,809,179/142,601,463 = 142,601,463/x
  3. Step 3: Cross multiply
    65,809,179x = 142,601,463 × 142,601,463
  4. Step 4: Simplify right side
    65,809,179x = 20,335,177,249,740,368
  5. Step 5: Solve for x
    x = 20,335,177,249,740,368/65,809,179
  6. Step 6: Final answer
    x = 309,002,141.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.