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Finding the Third Proportional to 140,207,365.13 and 324,554,662.69

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Solution

The third proportional to 140,207,365.13 and 324,554,662.69 is: 751,285,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,207,365.13 : 324,554,662.69 = 324,554,662.69 : x
  2. Step 2: Convert to fraction form
    140,207,365.13/324,554,662.69 = 324,554,662.69/x
  3. Step 3: Cross multiply
    140,207,365.13x = 324,554,662.69 × 324,554,662.69
  4. Step 4: Simplify right side
    140,207,365.13x = 105,335,729,072,196,912
  5. Step 5: Solve for x
    x = 105,335,729,072,196,912/140,207,365.13
  6. Step 6: Final answer
    x = 751,285,276.48

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.