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Finding the Third Proportional to 106,871,556 and 233,419,551

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Solution

The third proportional to 106,871,556 and 233,419,551 is: 509,814,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,556 : 233,419,551 = 233,419,551 : x
  2. Step 2: Convert to fraction form
    106,871,556/233,419,551 = 233,419,551/x
  3. Step 3: Cross multiply
    106,871,556x = 233,419,551 × 233,419,551
  4. Step 4: Simplify right side
    106,871,556x = 54,484,686,789,041,600
  5. Step 5: Solve for x
    x = 54,484,686,789,041,600/106,871,556
  6. Step 6: Final answer
    x = 509,814,667.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.