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Finding the Third Proportional to 151,566,986 and 328,623,232

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Solution

The third proportional to 151,566,986 and 328,623,232 is: 712,511,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,566,986 : 328,623,232 = 328,623,232 : x
  2. Step 2: Convert to fraction form
    151,566,986/328,623,232 = 328,623,232/x
  3. Step 3: Cross multiply
    151,566,986x = 328,623,232 × 328,623,232
  4. Step 4: Simplify right side
    151,566,986x = 107,993,228,610,125,824
  5. Step 5: Solve for x
    x = 107,993,228,610,125,824/151,566,986
  6. Step 6: Final answer
    x = 712,511,553.21

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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.