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Finding the Third Proportional to 145,356,662 and 223,423,204

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Solution

The third proportional to 145,356,662 and 223,423,204 is: 343,416,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,662 : 223,423,204 = 223,423,204 : x
  2. Step 2: Convert to fraction form
    145,356,662/223,423,204 = 223,423,204/x
  3. Step 3: Cross multiply
    145,356,662x = 223,423,204 × 223,423,204
  4. Step 4: Simplify right side
    145,356,662x = 49,917,928,085,625,616
  5. Step 5: Solve for x
    x = 49,917,928,085,625,616/145,356,662
  6. Step 6: Final answer
    x = 343,416,857.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.