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Finding the Third Proportional to 95,656,633,461 and 205,509,019,243

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Solution

The third proportional to 95,656,633,461 and 205,509,019,243 is: 441,516,238,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,656,633,461 : 205,509,019,243 = 205,509,019,243 : x
  2. Step 2: Convert to fraction form
    95,656,633,461/205,509,019,243 = 205,509,019,243/x
  3. Step 3: Cross multiply
    95,656,633,461x = 205,509,019,243 × 205,509,019,243
  4. Step 4: Simplify right side
    95,656,633,461x = 42,233,956,990,219,741,822,976
  5. Step 5: Solve for x
    x = 42,233,956,990,219,741,822,976/95,656,633,461
  6. Step 6: Final answer
    x = 441,516,238,468.07

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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.