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Finding the Third Proportional to 105,626,574 and 226,871,620

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Solution

The third proportional to 105,626,574 and 226,871,620 is: 487,289,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,626,574 : 226,871,620 = 226,871,620 : x
  2. Step 2: Convert to fraction form
    105,626,574/226,871,620 = 226,871,620/x
  3. Step 3: Cross multiply
    105,626,574x = 226,871,620 × 226,871,620
  4. Step 4: Simplify right side
    105,626,574x = 51,470,731,961,424,400
  5. Step 5: Solve for x
    x = 51,470,731,961,424,400/105,626,574
  6. Step 6: Final answer
    x = 487,289,609.16

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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.