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Finding the Third Proportional to 120,744,072 and 188,290,548

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Solution

The third proportional to 120,744,072 and 188,290,548 is: 293,623,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,072 : 188,290,548 = 188,290,548 : x
  2. Step 2: Convert to fraction form
    120,744,072/188,290,548 = 188,290,548/x
  3. Step 3: Cross multiply
    120,744,072x = 188,290,548 × 188,290,548
  4. Step 4: Simplify right side
    120,744,072x = 35,453,330,466,140,304
  5. Step 5: Solve for x
    x = 35,453,330,466,140,304/120,744,072
  6. Step 6: Final answer
    x = 293,623,776.96

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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.