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Finding the Third Proportional to 85,301,167 and 184,194,681

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Solution

The third proportional to 85,301,167 and 184,194,681 is: 397,739,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,167 : 184,194,681 = 184,194,681 : x
  2. Step 2: Convert to fraction form
    85,301,167/184,194,681 = 184,194,681/x
  3. Step 3: Cross multiply
    85,301,167x = 184,194,681 × 184,194,681
  4. Step 4: Simplify right side
    85,301,167x = 33,927,680,508,691,760
  5. Step 5: Solve for x
    x = 33,927,680,508,691,760/85,301,167
  6. Step 6: Final answer
    x = 397,739,933.72

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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.