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Finding the Third Proportional to 77,306,212.69 and 166,717,470.38

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Solution

The third proportional to 77,306,212.69 and 166,717,470.38 is: 359,540,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,306,212.69 : 166,717,470.38 = 166,717,470.38 : x
  2. Step 2: Convert to fraction form
    77,306,212.69/166,717,470.38 = 166,717,470.38/x
  3. Step 3: Cross multiply
    77,306,212.69x = 166,717,470.38 × 166,717,470.38
  4. Step 4: Simplify right side
    77,306,212.69x = 27,794,714,928,239,004
  5. Step 5: Solve for x
    x = 27,794,714,928,239,004/77,306,212.69
  6. Step 6: Final answer
    x = 359,540,507.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.