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Finding the Third Proportional to 164,147,796 and 256,159,422

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Solution

The third proportional to 164,147,796 and 256,159,422 is: 399,747,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,147,796 : 256,159,422 = 256,159,422 : x
  2. Step 2: Convert to fraction form
    164,147,796/256,159,422 = 256,159,422/x
  3. Step 3: Cross multiply
    164,147,796x = 256,159,422 × 256,159,422
  4. Step 4: Simplify right side
    164,147,796x = 65,617,649,479,374,080
  5. Step 5: Solve for x
    x = 65,617,649,479,374,080/164,147,796
  6. Step 6: Final answer
    x = 399,747,368.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.