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Finding the Third Proportional to 120,744,071 and 188,290,546

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Solution

The third proportional to 120,744,071 and 188,290,546 is: 293,623,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,071 : 188,290,546 = 188,290,546 : x
  2. Step 2: Convert to fraction form
    120,744,071/188,290,546 = 188,290,546/x
  3. Step 3: Cross multiply
    120,744,071x = 188,290,546 × 188,290,546
  4. Step 4: Simplify right side
    120,744,071x = 35,453,329,712,978,116
  5. Step 5: Solve for x
    x = 35,453,329,712,978,116/120,744,071
  6. Step 6: Final answer
    x = 293,623,773.15

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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.