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Finding the Third Proportional to 85,301,008.88 and 184,194,354.38

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Solution

The third proportional to 85,301,008.88 and 184,194,354.38 is: 397,739,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,008.88 : 184,194,354.38 = 184,194,354.38 : x
  2. Step 2: Convert to fraction form
    85,301,008.88/184,194,354.38 = 184,194,354.38/x
  3. Step 3: Cross multiply
    85,301,008.88x = 184,194,354.38 × 184,194,354.38
  4. Step 4: Simplify right side
    85,301,008.88x = 33,927,560,183,623,080
  5. Step 5: Solve for x
    x = 33,927,560,183,623,080/85,301,008.88
  6. Step 6: Final answer
    x = 397,739,260.43

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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.