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Finding the Third Proportional to 120,110,854.43 and 192,255,542.09

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Solution

The third proportional to 120,110,854.43 and 192,255,542.09 is: 307,733,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,110,854.43 : 192,255,542.09 = 192,255,542.09 : x
  2. Step 2: Convert to fraction form
    120,110,854.43/192,255,542.09 = 192,255,542.09/x
  3. Step 3: Cross multiply
    120,110,854.43x = 192,255,542.09 × 192,255,542.09
  4. Step 4: Simplify right side
    120,110,854.43x = 36,962,193,462,758,648
  5. Step 5: Solve for x
    x = 36,962,193,462,758,648/120,110,854.43
  6. Step 6: Final answer
    x = 307,733,998.22

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.