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Finding the Third Proportional to 109,729,097 and 164,055,644

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Solution

The third proportional to 109,729,097 and 164,055,644 is: 245,279,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,729,097 : 164,055,644 = 164,055,644 : x
  2. Step 2: Convert to fraction form
    109,729,097/164,055,644 = 164,055,644/x
  3. Step 3: Cross multiply
    109,729,097x = 164,055,644 × 164,055,644
  4. Step 4: Simplify right side
    109,729,097x = 26,914,254,328,254,736
  5. Step 5: Solve for x
    x = 26,914,254,328,254,736/109,729,097
  6. Step 6: Final answer
    x = 245,279,101.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.