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Finding the Third Proportional to 96,367,128 and 146,809,232

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Solution

The third proportional to 96,367,128 and 146,809,232 is: 223,654,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,367,128 : 146,809,232 = 146,809,232 : x
  2. Step 2: Convert to fraction form
    96,367,128/146,809,232 = 146,809,232/x
  3. Step 3: Cross multiply
    96,367,128x = 146,809,232 × 146,809,232
  4. Step 4: Simplify right side
    96,367,128x = 21,552,950,600,429,824
  5. Step 5: Solve for x
    x = 21,552,950,600,429,824/96,367,128
  6. Step 6: Final answer
    x = 223,654,591.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.