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Finding the Third Proportional to 160,992,106 and 251,054,080

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Solution

The third proportional to 160,992,106 and 251,054,080 is: 391,498,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992,106 : 251,054,080 = 251,054,080 : x
  2. Step 2: Convert to fraction form
    160,992,106/251,054,080 = 251,054,080/x
  3. Step 3: Cross multiply
    160,992,106x = 251,054,080 × 251,054,080
  4. Step 4: Simplify right side
    160,992,106x = 63,028,151,084,646,400
  5. Step 5: Solve for x
    x = 63,028,151,084,646,400/160,992,106
  6. Step 6: Final answer
    x = 391,498,394.86

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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.