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Finding the Third Proportional to 78,282,236 and 166,642,168

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Solution

The third proportional to 78,282,236 and 166,642,168 is: 354,737,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282,236 : 166,642,168 = 166,642,168 : x
  2. Step 2: Convert to fraction form
    78,282,236/166,642,168 = 166,642,168/x
  3. Step 3: Cross multiply
    78,282,236x = 166,642,168 × 166,642,168
  4. Step 4: Simplify right side
    78,282,236x = 27,769,612,155,740,224
  5. Step 5: Solve for x
    x = 27,769,612,155,740,224/78,282,236
  6. Step 6: Final answer
    x = 354,737,084.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.