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Finding the Third Proportional to 82,268,103,523.50 and 115,851,618,333

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Solution

The third proportional to 82,268,103,523.50 and 115,851,618,333 is: 163,144,607,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268,103,523.50 : 115,851,618,333 = 115,851,618,333 : x
  2. Step 2: Convert to fraction form
    82,268,103,523.50/115,851,618,333 = 115,851,618,333/x
  3. Step 3: Cross multiply
    82,268,103,523.50x = 115,851,618,333 × 115,851,618,333
  4. Step 4: Simplify right side
    82,268,103,523.50x = 13,421,597,470,375,102,382,080
  5. Step 5: Solve for x
    x = 13,421,597,470,375,102,382,080/82,268,103,523.50
  6. Step 6: Final answer
    x = 163,144,607,636.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.