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Finding the Third Proportional to 184,098,997.97 and 409,058,734.50

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Solution

The third proportional to 184,098,997.97 and 409,058,734.50 is: 908,907,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,098,997.97 : 409,058,734.50 = 409,058,734.50 : x
  2. Step 2: Convert to fraction form
    184,098,997.97/409,058,734.50 = 409,058,734.50/x
  3. Step 3: Cross multiply
    184,098,997.97x = 409,058,734.50 × 409,058,734.50
  4. Step 4: Simplify right side
    184,098,997.97x = 167,329,048,270,741,504
  5. Step 5: Solve for x
    x = 167,329,048,270,741,504/184,098,997.97
  6. Step 6: Final answer
    x = 908,907,979.49

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