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Finding the Third Proportional to 65,143,605 and 143,198,043

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Solution

The third proportional to 65,143,605 and 143,198,043 is: 314,776,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143,605 : 143,198,043 = 143,198,043 : x
  2. Step 2: Convert to fraction form
    65,143,605/143,198,043 = 143,198,043/x
  3. Step 3: Cross multiply
    65,143,605x = 143,198,043 × 143,198,043
  4. Step 4: Simplify right side
    65,143,605x = 20,505,679,519,029,848
  5. Step 5: Solve for x
    x = 20,505,679,519,029,848/65,143,605
  6. Step 6: Final answer
    x = 314,776,554.34

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Why These Related Problems?

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