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Finding the Third Proportional to 84,062,510.44 and 184,674,323.25

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Solution

The third proportional to 84,062,510.44 and 184,674,323.25 is: 405,705,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,062,510.44 : 184,674,323.25 = 184,674,323.25 : x
  2. Step 2: Convert to fraction form
    84,062,510.44/184,674,323.25 = 184,674,323.25/x
  3. Step 3: Cross multiply
    84,062,510.44x = 184,674,323.25 × 184,674,323.25
  4. Step 4: Simplify right side
    84,062,510.44x = 34,104,605,667,845,492
  5. Step 5: Solve for x
    x = 34,104,605,667,845,492/84,062,510.44
  6. Step 6: Final answer
    x = 405,705,295.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.