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Finding the Third Proportional to 105,626,576 and 226,871,624

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Solution

The third proportional to 105,626,576 and 226,871,624 is: 487,289,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,626,576 : 226,871,624 = 226,871,624 : x
  2. Step 2: Convert to fraction form
    105,626,576/226,871,624 = 226,871,624/x
  3. Step 3: Cross multiply
    105,626,576x = 226,871,624 × 226,871,624
  4. Step 4: Simplify right side
    105,626,576x = 51,470,733,776,397,376
  5. Step 5: Solve for x
    x = 51,470,733,776,397,376/105,626,576
  6. Step 6: Final answer
    x = 487,289,617.12

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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.