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Finding the Third Proportional to 167,449,849,096 and 257,382,423,564

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Solution

The third proportional to 167,449,849,096 and 257,382,423,564 is: 395,615,238,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,449,849,096 : 257,382,423,564 = 257,382,423,564 : x
  2. Step 2: Convert to fraction form
    167,449,849,096/257,382,423,564 = 257,382,423,564/x
  3. Step 3: Cross multiply
    167,449,849,096x = 257,382,423,564 × 257,382,423,564
  4. Step 4: Simplify right side
    167,449,849,096x = 66,245,711,959,678,301,241,344
  5. Step 5: Solve for x
    x = 66,245,711,959,678,301,241,344/167,449,849,096
  6. Step 6: Final answer
    x = 395,615,238,337.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.