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Finding the Third Proportional to 120,744,578 and 188,291,295

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Solution

The third proportional to 120,744,578 and 188,291,295 is: 293,624,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,578 : 188,291,295 = 188,291,295 : x
  2. Step 2: Convert to fraction form
    120,744,578/188,291,295 = 188,291,295/x
  3. Step 3: Cross multiply
    120,744,578x = 188,291,295 × 188,291,295
  4. Step 4: Simplify right side
    120,744,578x = 35,453,611,772,777,024
  5. Step 5: Solve for x
    x = 35,453,611,772,777,024/120,744,578
  6. Step 6: Final answer
    x = 293,624,876.25

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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.