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Finding the Third Proportional to 85,301,165 and 184,194,677

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Solution

The third proportional to 85,301,165 and 184,194,677 is: 397,739,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,165 : 184,194,677 = 184,194,677 : x
  2. Step 2: Convert to fraction form
    85,301,165/184,194,677 = 184,194,677/x
  3. Step 3: Cross multiply
    85,301,165x = 184,194,677 × 184,194,677
  4. Step 4: Simplify right side
    85,301,165x = 33,927,679,035,134,328
  5. Step 5: Solve for x
    x = 33,927,679,035,134,328/85,301,165
  6. Step 6: Final answer
    x = 397,739,925.77

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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.