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Finding the Third Proportional to 179,952,518,282 and 386,987,269,924

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Solution

The third proportional to 179,952,518,282 and 386,987,269,924 is: 832,214,789,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,518,282 : 386,987,269,924 = 386,987,269,924 : x
  2. Step 2: Convert to fraction form
    179,952,518,282/386,987,269,924 = 386,987,269,924/x
  3. Step 3: Cross multiply
    179,952,518,282x = 386,987,269,924 × 386,987,269,924
  4. Step 4: Simplify right side
    179,952,518,282x = 149,759,147,083,230,835,900,416
  5. Step 5: Solve for x
    x = 149,759,147,083,230,835,900,416/179,952,518,282
  6. Step 6: Final answer
    x = 832,214,789,284.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.