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Finding the Third Proportional to 76,983,057 and 159,422,922

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Solution

The third proportional to 76,983,057 and 159,422,922 is: 330,146,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983,057 : 159,422,922 = 159,422,922 : x
  2. Step 2: Convert to fraction form
    76,983,057/159,422,922 = 159,422,922/x
  3. Step 3: Cross multiply
    76,983,057x = 159,422,922 × 159,422,922
  4. Step 4: Simplify right side
    76,983,057x = 25,415,668,059,018,084
  5. Step 5: Solve for x
    x = 25,415,668,059,018,084/76,983,057
  6. Step 6: Final answer
    x = 330,146,256.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.