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Finding the Third Proportional to 85,416,932 and 184,270,792

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Solution

The third proportional to 85,416,932 and 184,270,792 is: 397,529,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,932 : 184,270,792 = 184,270,792 : x
  2. Step 2: Convert to fraction form
    85,416,932/184,270,792 = 184,270,792/x
  3. Step 3: Cross multiply
    85,416,932x = 184,270,792 × 184,270,792
  4. Step 4: Simplify right side
    85,416,932x = 33,955,724,784,307,264
  5. Step 5: Solve for x
    x = 33,955,724,784,307,264/85,416,932
  6. Step 6: Final answer
    x = 397,529,201.64

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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.