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Finding the Third Proportional to 138,806,873,055 and 302,256,056,839.50

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Solution

The third proportional to 138,806,873,055 and 302,256,056,839.50 is: 658,171,471,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,806,873,055 : 302,256,056,839.50 = 302,256,056,839.50 : x
  2. Step 2: Convert to fraction form
    138,806,873,055/302,256,056,839.50 = 302,256,056,839.50/x
  3. Step 3: Cross multiply
    138,806,873,055x = 302,256,056,839.50 × 302,256,056,839.50
  4. Step 4: Simplify right side
    138,806,873,055x = 91,358,723,896,163,057,008,640
  5. Step 5: Solve for x
    x = 91,358,723,896,163,057,008,640/138,806,873,055
  6. Step 6: Final answer
    x = 658,171,471,523.34

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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.