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Finding the Third Proportional to 90,099,121,448 and 136,308,286,191

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Solution

The third proportional to 90,099,121,448 and 136,308,286,191 is: 206,216,759,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,099,121,448 : 136,308,286,191 = 136,308,286,191 : x
  2. Step 2: Convert to fraction form
    90,099,121,448/136,308,286,191 = 136,308,286,191/x
  3. Step 3: Cross multiply
    90,099,121,448x = 136,308,286,191 × 136,308,286,191
  4. Step 4: Simplify right side
    90,099,121,448x = 18,579,948,884,327,560,904,704
  5. Step 5: Solve for x
    x = 18,579,948,884,327,560,904,704/90,099,121,448
  6. Step 6: Final answer
    x = 206,216,759,783.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.