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Finding the Third Proportional to 120,743,838 and 188,290,212

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Solution

The third proportional to 120,743,838 and 188,290,212 is: 293,623,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,838 : 188,290,212 = 188,290,212 : x
  2. Step 2: Convert to fraction form
    120,743,838/188,290,212 = 188,290,212/x
  3. Step 3: Cross multiply
    120,743,838x = 188,290,212 × 188,290,212
  4. Step 4: Simplify right side
    120,743,838x = 35,453,203,935,004,944
  5. Step 5: Solve for x
    x = 35,453,203,935,004,944/120,743,838
  6. Step 6: Final answer
    x = 293,623,298.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.