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Finding the Third Proportional to 106,871,588 and 233,419,612

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Solution

The third proportional to 106,871,588 and 233,419,612 is: 509,814,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,588 : 233,419,612 = 233,419,612 : x
  2. Step 2: Convert to fraction form
    106,871,588/233,419,612 = 233,419,612/x
  3. Step 3: Cross multiply
    106,871,588x = 233,419,612 × 233,419,612
  4. Step 4: Simplify right side
    106,871,588x = 54,484,715,266,230,544
  5. Step 5: Solve for x
    x = 54,484,715,266,230,544/106,871,588
  6. Step 6: Final answer
    x = 509,814,781.33

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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.