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Finding the Third Proportional to 138,806,873,716.50 and 302,256,058,275

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Solution

The third proportional to 138,806,873,716.50 and 302,256,058,275 is: 658,171,474,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,806,873,716.50 : 302,256,058,275 = 302,256,058,275 : x
  2. Step 2: Convert to fraction form
    138,806,873,716.50/302,256,058,275 = 302,256,058,275/x
  3. Step 3: Cross multiply
    138,806,873,716.50x = 302,256,058,275 × 302,256,058,275
  4. Step 4: Simplify right side
    138,806,873,716.50x = 91,358,724,763,940,194,091,008
  5. Step 5: Solve for x
    x = 91,358,724,763,940,194,091,008/138,806,873,716.50
  6. Step 6: Final answer
    x = 658,171,474,638.44

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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.