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Finding the Third Proportional to 86,314,887 and 184,941,486

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Solution

The third proportional to 86,314,887 and 184,941,486 is: 396,262,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314,887 : 184,941,486 = 184,941,486 : x
  2. Step 2: Convert to fraction form
    86,314,887/184,941,486 = 184,941,486/x
  3. Step 3: Cross multiply
    86,314,887x = 184,941,486 × 184,941,486
  4. Step 4: Simplify right side
    86,314,887x = 34,203,353,243,888,196
  5. Step 5: Solve for x
    x = 34,203,353,243,888,196/86,314,887
  6. Step 6: Final answer
    x = 396,262,503.87

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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.