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Finding the Third Proportional to 172,688,204 and 352,313,208

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Solution

The third proportional to 172,688,204 and 352,313,208 is: 718,778,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,688,204 : 352,313,208 = 352,313,208 : x
  2. Step 2: Convert to fraction form
    172,688,204/352,313,208 = 352,313,208/x
  3. Step 3: Cross multiply
    172,688,204x = 352,313,208 × 352,313,208
  4. Step 4: Simplify right side
    172,688,204x = 124,124,596,531,251,264
  5. Step 5: Solve for x
    x = 124,124,596,531,251,264/172,688,204
  6. Step 6: Final answer
    x = 718,778,663.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.