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Finding the Third Proportional to 167,164,613,417 and 255,608,677,299

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Solution

The third proportional to 167,164,613,417 and 255,608,677,299 is: 390,847,049,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,164,613,417 : 255,608,677,299 = 255,608,677,299 : x
  2. Step 2: Convert to fraction form
    167,164,613,417/255,608,677,299 = 255,608,677,299/x
  3. Step 3: Cross multiply
    167,164,613,417x = 255,608,677,299 × 255,608,677,299
  4. Step 4: Simplify right side
    167,164,613,417x = 65,335,795,910,544,317,218,816
  5. Step 5: Solve for x
    x = 65,335,795,910,544,317,218,816/167,164,613,417
  6. Step 6: Final answer
    x = 390,847,049,354.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.