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Finding the Third Proportional to 86,314,939.50 and 184,941,591

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Solution

The third proportional to 86,314,939.50 and 184,941,591 is: 396,262,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314,939.50 : 184,941,591 = 184,941,591 : x
  2. Step 2: Convert to fraction form
    86,314,939.50/184,941,591 = 184,941,591/x
  3. Step 3: Cross multiply
    86,314,939.50x = 184,941,591 × 184,941,591
  4. Step 4: Simplify right side
    86,314,939.50x = 34,203,392,081,611,280
  5. Step 5: Solve for x
    x = 34,203,392,081,611,280/86,314,939.50
  6. Step 6: Final answer
    x = 396,262,712.80

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Why These Related Problems?

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