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Finding the Third Proportional to 232,659,623 and 504,093,207

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Solution

The third proportional to 232,659,623 and 504,093,207 is: 1,092,196,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,659,623 : 504,093,207 = 504,093,207 : x
  2. Step 2: Convert to fraction form
    232,659,623/504,093,207 = 504,093,207/x
  3. Step 3: Cross multiply
    232,659,623x = 504,093,207 × 504,093,207
  4. Step 4: Simplify right side
    232,659,623x = 254,109,961,343,544,864
  5. Step 5: Solve for x
    x = 254,109,961,343,544,864/232,659,623
  6. Step 6: Final answer
    x = 1,092,196,222.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.