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Finding the Third Proportional to 65,143,618 and 143,198,068

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Solution

The third proportional to 65,143,618 and 143,198,068 is: 314,776,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143,618 : 143,198,068 = 143,198,068 : x
  2. Step 2: Convert to fraction form
    65,143,618/143,198,068 = 143,198,068/x
  3. Step 3: Cross multiply
    65,143,618x = 143,198,068 × 143,198,068
  4. Step 4: Simplify right side
    65,143,618x = 20,505,686,678,932,624
  5. Step 5: Solve for x
    x = 20,505,686,678,932,624/65,143,618
  6. Step 6: Final answer
    x = 314,776,601.43

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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.