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Finding the Third Proportional to 123,305,574 and 268,317,960

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Solution

The third proportional to 123,305,574 and 268,317,960 is: 583,870,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305,574 : 268,317,960 = 268,317,960 : x
  2. Step 2: Convert to fraction form
    123,305,574/268,317,960 = 268,317,960/x
  3. Step 3: Cross multiply
    123,305,574x = 268,317,960 × 268,317,960
  4. Step 4: Simplify right side
    123,305,574x = 71,994,527,658,561,600
  5. Step 5: Solve for x
    x = 71,994,527,658,561,600/123,305,574
  6. Step 6: Final answer
    x = 583,870,828.57

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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.