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Finding the Third Proportional to 184,099,000.50 and 409,058,739

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Solution

The third proportional to 184,099,000.50 and 409,058,739 is: 908,907,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,099,000.50 : 409,058,739 = 409,058,739 : x
  2. Step 2: Convert to fraction form
    184,099,000.50/409,058,739 = 409,058,739/x
  3. Step 3: Cross multiply
    184,099,000.50x = 409,058,739 × 409,058,739
  4. Step 4: Simplify right side
    184,099,000.50x = 167,329,051,952,270,112
  5. Step 5: Solve for x
    x = 167,329,051,952,270,112/184,099,000.50
  6. Step 6: Final answer
    x = 908,907,987.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.