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Finding the Third Proportional to 321,857,208 and 695,168,226

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Solution

The third proportional to 321,857,208 and 695,168,226 is: 1,501,469,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857,208 : 695,168,226 = 695,168,226 : x
  2. Step 2: Convert to fraction form
    321,857,208/695,168,226 = 695,168,226/x
  3. Step 3: Cross multiply
    321,857,208x = 695,168,226 × 695,168,226
  4. Step 4: Simplify right side
    321,857,208x = 483,258,862,439,987,072
  5. Step 5: Solve for x
    x = 483,258,862,439,987,072/321,857,208
  6. Step 6: Final answer
    x = 1,501,469,752.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.