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Finding the Third Proportional to 65,524,309 and 142,186,731

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Solution

The third proportional to 65,524,309 and 142,186,731 is: 308,542,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524,309 : 142,186,731 = 142,186,731 : x
  2. Step 2: Convert to fraction form
    65,524,309/142,186,731 = 142,186,731/x
  3. Step 3: Cross multiply
    65,524,309x = 142,186,731 × 142,186,731
  4. Step 4: Simplify right side
    65,524,309x = 20,217,066,472,466,360
  5. Step 5: Solve for x
    x = 20,217,066,472,466,360/65,524,309
  6. Step 6: Final answer
    x = 308,542,993.91

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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.