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Finding the Third Proportional to 86,174,120.25 and 184,453,280.25

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Solution

The third proportional to 86,174,120.25 and 184,453,280.25 is: 394,817,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,174,120.25 : 184,453,280.25 = 184,453,280.25 : x
  2. Step 2: Convert to fraction form
    86,174,120.25/184,453,280.25 = 184,453,280.25/x
  3. Step 3: Cross multiply
    86,174,120.25x = 184,453,280.25 × 184,453,280.25
  4. Step 4: Simplify right side
    86,174,120.25x = 34,023,012,594,985,040
  5. Step 5: Solve for x
    x = 34,023,012,594,985,040/86,174,120.25
  6. Step 6: Final answer
    x = 394,817,057.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.