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Finding the Third Proportional to 135,819,210 and 294,606,612

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Solution

The third proportional to 135,819,210 and 294,606,612 is: 639,033,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,819,210 : 294,606,612 = 294,606,612 : x
  2. Step 2: Convert to fraction form
    135,819,210/294,606,612 = 294,606,612/x
  3. Step 3: Cross multiply
    135,819,210x = 294,606,612 × 294,606,612
  4. Step 4: Simplify right side
    135,819,210x = 86,793,055,834,118,544
  5. Step 5: Solve for x
    x = 86,793,055,834,118,544/135,819,210
  6. Step 6: Final answer
    x = 639,033,726.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.