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Finding the Third Proportional to 188,308,157.06 and 405,471,835.13

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Solution

The third proportional to 188,308,157.06 and 405,471,835.13 is: 873,076,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,308,157.06 : 405,471,835.13 = 405,471,835.13 : x
  2. Step 2: Convert to fraction form
    188,308,157.06/405,471,835.13 = 405,471,835.13/x
  3. Step 3: Cross multiply
    188,308,157.06x = 405,471,835.13 × 405,471,835.13
  4. Step 4: Simplify right side
    188,308,157.06x = 164,407,409,079,635,168
  5. Step 5: Solve for x
    x = 164,407,409,079,635,168/188,308,157.06
  6. Step 6: Final answer
    x = 873,076,406.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.