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Finding the Third Proportional to 95,656,633,424.15 and 205,509,019,172.34

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Solution

The third proportional to 95,656,633,424.15 and 205,509,019,172.34 is: 441,516,238,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,656,633,424.15 : 205,509,019,172.34 = 205,509,019,172.34 : x
  2. Step 2: Convert to fraction form
    95,656,633,424.15/205,509,019,172.34 = 205,509,019,172.34/x
  3. Step 3: Cross multiply
    95,656,633,424.15x = 205,509,019,172.34 × 205,509,019,172.34
  4. Step 4: Simplify right side
    95,656,633,424.15x = 42,233,956,961,177,206,521,856
  5. Step 5: Solve for x
    x = 42,233,956,961,177,206,521,856/95,656,633,424.15
  6. Step 6: Final answer
    x = 441,516,238,334.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.