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Finding the Third Proportional to 86,078,624 and 184,437,478

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Solution

The third proportional to 86,078,624 and 184,437,478 is: 395,187,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078,624 : 184,437,478 = 184,437,478 : x
  2. Step 2: Convert to fraction form
    86,078,624/184,437,478 = 184,437,478/x
  3. Step 3: Cross multiply
    86,078,624x = 184,437,478 × 184,437,478
  4. Step 4: Simplify right side
    86,078,624x = 34,017,183,291,000,484
  5. Step 5: Solve for x
    x = 34,017,183,291,000,484/86,078,624
  6. Step 6: Final answer
    x = 395,187,349.78

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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.