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Finding the Third Proportional to 183,193,778 and 395,084,560

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Solution

The third proportional to 183,193,778 and 395,084,560 is: 852,058,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,193,778 : 395,084,560 = 395,084,560 : x
  2. Step 2: Convert to fraction form
    183,193,778/395,084,560 = 395,084,560/x
  3. Step 3: Cross multiply
    183,193,778x = 395,084,560 × 395,084,560
  4. Step 4: Simplify right side
    183,193,778x = 156,091,809,550,393,600
  5. Step 5: Solve for x
    x = 156,091,809,550,393,600/183,193,778
  6. Step 6: Final answer
    x = 852,058,466.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.