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Finding the Third Proportional to 106,871,590 and 233,419,616

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Solution

The third proportional to 106,871,590 and 233,419,616 is: 509,814,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,590 : 233,419,616 = 233,419,616 : x
  2. Step 2: Convert to fraction form
    106,871,590/233,419,616 = 233,419,616/x
  3. Step 3: Cross multiply
    106,871,590x = 233,419,616 × 233,419,616
  4. Step 4: Simplify right side
    106,871,590x = 54,484,717,133,587,456
  5. Step 5: Solve for x
    x = 54,484,717,133,587,456/106,871,590
  6. Step 6: Final answer
    x = 509,814,789.26

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Why These Related Problems?

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