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Finding the Third Proportional to 41,507,548.88 and 96,092,016.19

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Solution

The third proportional to 41,507,548.88 and 96,092,016.19 is: 222,457,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507,548.88 : 96,092,016.19 = 96,092,016.19 : x
  2. Step 2: Convert to fraction form
    41,507,548.88/96,092,016.19 = 96,092,016.19/x
  3. Step 3: Cross multiply
    41,507,548.88x = 96,092,016.19 × 96,092,016.19
  4. Step 4: Simplify right side
    41,507,548.88x = 9,233,675,574,978,762
  5. Step 5: Solve for x
    x = 9,233,675,574,978,762/41,507,548.88
  6. Step 6: Final answer
    x = 222,457,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.