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Finding the Third Proportional to 78,268,554 and 166,008,276

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Solution

The third proportional to 78,268,554 and 166,008,276 is: 352,104,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,268,554 : 166,008,276 = 166,008,276 : x
  2. Step 2: Convert to fraction form
    78,268,554/166,008,276 = 166,008,276/x
  3. Step 3: Cross multiply
    78,268,554x = 166,008,276 × 166,008,276
  4. Step 4: Simplify right side
    78,268,554x = 27,558,747,700,492,176
  5. Step 5: Solve for x
    x = 27,558,747,700,492,176/78,268,554
  6. Step 6: Final answer
    x = 352,104,980.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.