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Finding the Third Proportional to 180,305,298 and 269,396,550

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Solution

The third proportional to 180,305,298 and 269,396,550 is: 402,508,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,305,298 : 269,396,550 = 269,396,550 : x
  2. Step 2: Convert to fraction form
    180,305,298/269,396,550 = 269,396,550/x
  3. Step 3: Cross multiply
    180,305,298x = 269,396,550 × 269,396,550
  4. Step 4: Simplify right side
    180,305,298x = 72,574,501,151,902,496
  5. Step 5: Solve for x
    x = 72,574,501,151,902,496/180,305,298
  6. Step 6: Final answer
    x = 402,508,977.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.