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Finding the Third Proportional to 160,992,084 and 251,054,046

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Solution

The third proportional to 160,992,084 and 251,054,046 is: 391,498,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992,084 : 251,054,046 = 251,054,046 : x
  2. Step 2: Convert to fraction form
    160,992,084/251,054,046 = 251,054,046/x
  3. Step 3: Cross multiply
    160,992,084x = 251,054,046 × 251,054,046
  4. Step 4: Simplify right side
    160,992,084x = 63,028,134,012,970,112
  5. Step 5: Solve for x
    x = 63,028,134,012,970,112/160,992,084
  6. Step 6: Final answer
    x = 391,498,342.32

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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.