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Finding the Third Proportional to 75,431,037.75 and 162,881,827.50

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Solution

The third proportional to 75,431,037.75 and 162,881,827.50 is: 351,718,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431,037.75 : 162,881,827.50 = 162,881,827.50 : x
  2. Step 2: Convert to fraction form
    75,431,037.75/162,881,827.50 = 162,881,827.50/x
  3. Step 3: Cross multiply
    75,431,037.75x = 162,881,827.50 × 162,881,827.50
  4. Step 4: Simplify right side
    75,431,037.75x = 26,530,489,729,739,756
  5. Step 5: Solve for x
    x = 26,530,489,729,739,756/75,431,037.75
  6. Step 6: Final answer
    x = 351,718,477.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.