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Finding the Third Proportional to 232,658,622 and 504,092,106

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Solution

The third proportional to 232,658,622 and 504,092,106 is: 1,092,196,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,658,622 : 504,092,106 = 504,092,106 : x
  2. Step 2: Convert to fraction form
    232,658,622/504,092,106 = 504,092,106/x
  3. Step 3: Cross multiply
    232,658,622x = 504,092,106 × 504,092,106
  4. Step 4: Simplify right side
    232,658,622x = 254,108,851,331,515,232
  5. Step 5: Solve for x
    x = 254,108,851,331,515,232/232,658,622
  6. Step 6: Final answer
    x = 1,092,196,150.51

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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.