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Finding the Third Proportional to 205,801,091,914.50 and 445,792,027,221

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Solution

The third proportional to 205,801,091,914.50 and 445,792,027,221 is: 965,643,717,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,091,914.50 : 445,792,027,221 = 445,792,027,221 : x
  2. Step 2: Convert to fraction form
    205,801,091,914.50/445,792,027,221 = 445,792,027,221/x
  3. Step 3: Cross multiply
    205,801,091,914.50x = 445,792,027,221 × 445,792,027,221
  4. Step 4: Simplify right side
    205,801,091,914.50x = 198,730,531,533,808,790,929,408
  5. Step 5: Solve for x
    x = 198,730,531,533,808,790,929,408/205,801,091,914.50
  6. Step 6: Final answer
    x = 965,643,717,849.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.