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Finding the Third Proportional to 83,916,010.13 and 181,621,807.03

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Solution

The third proportional to 83,916,010.13 and 181,621,807.03 is: 393,089,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,010.13 : 181,621,807.03 = 181,621,807.03 : x
  2. Step 2: Convert to fraction form
    83,916,010.13/181,621,807.03 = 181,621,807.03/x
  3. Step 3: Cross multiply
    83,916,010.13x = 181,621,807.03 × 181,621,807.03
  4. Step 4: Simplify right side
    83,916,010.13x = 32,986,480,789,296,612
  5. Step 5: Solve for x
    x = 32,986,480,789,296,612/83,916,010.13
  6. Step 6: Final answer
    x = 393,089,241.73

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Why These Related Problems?

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