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Finding the Third Proportional to 105,626,344 and 226,871,136

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Solution

The third proportional to 105,626,344 and 226,871,136 is: 487,288,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,626,344 : 226,871,136 = 226,871,136 : x
  2. Step 2: Convert to fraction form
    105,626,344/226,871,136 = 226,871,136/x
  3. Step 3: Cross multiply
    105,626,344x = 226,871,136 × 226,871,136
  4. Step 4: Simplify right side
    105,626,344x = 51,470,512,349,930,496
  5. Step 5: Solve for x
    x = 51,470,512,349,930,496/105,626,344
  6. Step 6: Final answer
    x = 487,288,591.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.