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Finding the Third Proportional to 131,661,870,234 and 288,477,394,122

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Solution

The third proportional to 131,661,870,234 and 288,477,394,122 is: 632,067,634,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,661,870,234 : 288,477,394,122 = 288,477,394,122 : x
  2. Step 2: Convert to fraction form
    131,661,870,234/288,477,394,122 = 288,477,394,122/x
  3. Step 3: Cross multiply
    131,661,870,234x = 288,477,394,122 × 288,477,394,122
  4. Step 4: Simplify right side
    131,661,870,234x = 83,219,206,919,419,720,630,272
  5. Step 5: Solve for x
    x = 83,219,206,919,419,720,630,272/131,661,870,234
  6. Step 6: Final answer
    x = 632,067,634,855.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.