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Finding the Third Proportional to 225,744,840 and 345,364,331

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Solution

The third proportional to 225,744,840 and 345,364,331 is: 528,368,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,744,840 : 345,364,331 = 345,364,331 : x
  2. Step 2: Convert to fraction form
    225,744,840/345,364,331 = 345,364,331/x
  3. Step 3: Cross multiply
    225,744,840x = 345,364,331 × 345,364,331
  4. Step 4: Simplify right side
    225,744,840x = 119,276,521,127,077,568
  5. Step 5: Solve for x
    x = 119,276,521,127,077,568/225,744,840
  6. Step 6: Final answer
    x = 528,368,759.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.