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Finding the Third Proportional to 82,268,103,489 and 115,851,618,285

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Solution

The third proportional to 82,268,103,489 and 115,851,618,285 is: 163,144,607,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268,103,489 : 115,851,618,285 = 115,851,618,285 : x
  2. Step 2: Convert to fraction form
    82,268,103,489/115,851,618,285 = 115,851,618,285/x
  3. Step 3: Cross multiply
    82,268,103,489x = 115,851,618,285 × 115,851,618,285
  4. Step 4: Simplify right side
    82,268,103,489x = 13,421,597,459,253,345,386,496
  5. Step 5: Solve for x
    x = 13,421,597,459,253,345,386,496/82,268,103,489
  6. Step 6: Final answer
    x = 163,144,607,570.15

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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.