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Finding the Third Proportional to 188,130,992 and 405,092,656

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Solution

The third proportional to 188,130,992 and 405,092,656 is: 872,264,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,130,992 : 405,092,656 = 405,092,656 : x
  2. Step 2: Convert to fraction form
    188,130,992/405,092,656 = 405,092,656/x
  3. Step 3: Cross multiply
    188,130,992x = 405,092,656 × 405,092,656
  4. Step 4: Simplify right side
    188,130,992x = 164,100,059,945,134,336
  5. Step 5: Solve for x
    x = 164,100,059,945,134,336/188,130,992
  6. Step 6: Final answer
    x = 872,264,894.80

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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.