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Finding the Third Proportional to 225,744,846 and 345,364,341

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Solution

The third proportional to 225,744,846 and 345,364,341 is: 528,368,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,744,846 : 345,364,341 = 345,364,341 : x
  2. Step 2: Convert to fraction form
    225,744,846/345,364,341 = 345,364,341/x
  3. Step 3: Cross multiply
    225,744,846x = 345,364,341 × 345,364,341
  4. Step 4: Simplify right side
    225,744,846x = 119,276,528,034,364,288
  5. Step 5: Solve for x
    x = 119,276,528,034,364,288/225,744,846
  6. Step 6: Final answer
    x = 528,368,776.29

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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.