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Finding the Third Proportional to 225,744,838 and 345,364,328

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Solution

The third proportional to 225,744,838 and 345,364,328 is: 528,368,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,744,838 : 345,364,328 = 345,364,328 : x
  2. Step 2: Convert to fraction form
    225,744,838/345,364,328 = 345,364,328/x
  3. Step 3: Cross multiply
    225,744,838x = 345,364,328 × 345,364,328
  4. Step 4: Simplify right side
    225,744,838x = 119,276,519,054,891,584
  5. Step 5: Solve for x
    x = 119,276,519,054,891,584/225,744,838
  6. Step 6: Final answer
    x = 528,368,755.24

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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.