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Finding the Third Proportional to 192,696,772.50 and 274,696,248.38

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Solution

The third proportional to 192,696,772.50 and 274,696,248.38 is: 391,589,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,696,772.50 : 274,696,248.38 = 274,696,248.38 : x
  2. Step 2: Convert to fraction form
    192,696,772.50/274,696,248.38 = 274,696,248.38/x
  3. Step 3: Cross multiply
    192,696,772.50x = 274,696,248.38 × 274,696,248.38
  4. Step 4: Simplify right side
    192,696,772.50x = 75,458,028,871,299,696
  5. Step 5: Solve for x
    x = 75,458,028,871,299,696/192,696,772.50
  6. Step 6: Final answer
    x = 391,589,479.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.