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Finding the Third Proportional to 120,743,827 and 188,290,196

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Solution

The third proportional to 120,743,827 and 188,290,196 is: 293,623,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,827 : 188,290,196 = 188,290,196 : x
  2. Step 2: Convert to fraction form
    120,743,827/188,290,196 = 188,290,196/x
  3. Step 3: Cross multiply
    120,743,827x = 188,290,196 × 188,290,196
  4. Step 4: Simplify right side
    120,743,827x = 35,453,197,909,718,416
  5. Step 5: Solve for x
    x = 35,453,197,909,718,416/120,743,827
  6. Step 6: Final answer
    x = 293,623,274.92

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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.