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Finding the Third Proportional to 135,819,190 and 294,606,574

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Solution

The third proportional to 135,819,190 and 294,606,574 is: 639,033,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,819,190 : 294,606,574 = 294,606,574 : x
  2. Step 2: Convert to fraction form
    135,819,190/294,606,574 = 294,606,574/x
  3. Step 3: Cross multiply
    135,819,190x = 294,606,574 × 294,606,574
  4. Step 4: Simplify right side
    135,819,190x = 86,793,033,444,017,472
  5. Step 5: Solve for x
    x = 86,793,033,444,017,472/135,819,190
  6. Step 6: Final answer
    x = 639,033,655.29

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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.