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Finding the Third Proportional to 143,484,950,268 and 308,263,528,998

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Solution

The third proportional to 143,484,950,268 and 308,263,528,998 is: 662,274,357,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,484,950,268 : 308,263,528,998 = 308,263,528,998 : x
  2. Step 2: Convert to fraction form
    143,484,950,268/308,263,528,998 = 308,263,528,998/x
  3. Step 3: Cross multiply
    143,484,950,268x = 308,263,528,998 × 308,263,528,998
  4. Step 4: Simplify right side
    143,484,950,268x = 95,026,403,310,300,783,706,112
  5. Step 5: Solve for x
    x = 95,026,403,310,300,783,706,112/143,484,950,268
  6. Step 6: Final answer
    x = 662,274,357,922.63

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Why These Related Problems?

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