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Finding the Third Proportional to 150,070,961 and 325,189,296

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Solution

The third proportional to 150,070,961 and 325,189,296 is: 704,653,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,070,961 : 325,189,296 = 325,189,296 : x
  2. Step 2: Convert to fraction form
    150,070,961/325,189,296 = 325,189,296/x
  3. Step 3: Cross multiply
    150,070,961x = 325,189,296 × 325,189,296
  4. Step 4: Simplify right side
    150,070,961x = 105,748,078,232,975,616
  5. Step 5: Solve for x
    x = 105,748,078,232,975,616/150,070,961
  6. Step 6: Final answer
    x = 704,653,835.28

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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.