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Finding the Third Proportional to 169,660,142,744 and 369,107,542,522

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Solution

The third proportional to 169,660,142,744 and 369,107,542,522 is: 803,019,352,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,744 : 369,107,542,522 = 369,107,542,522 : x
  2. Step 2: Convert to fraction form
    169,660,142,744/369,107,542,522 = 369,107,542,522/x
  3. Step 3: Cross multiply
    169,660,142,744x = 369,107,542,522 × 369,107,542,522
  4. Step 4: Simplify right side
    169,660,142,744x = 136,240,377,946,630,034,292,736
  5. Step 5: Solve for x
    x = 136,240,377,946,630,034,292,736/169,660,142,744
  6. Step 6: Final answer
    x = 803,019,352,354.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.