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Finding the Third Proportional to 150,623,576.50 and 232,751,834.50

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Solution

The third proportional to 150,623,576.50 and 232,751,834.50 is: 359,660,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,576.50 : 232,751,834.50 = 232,751,834.50 : x
  2. Step 2: Convert to fraction form
    150,623,576.50/232,751,834.50 = 232,751,834.50/x
  3. Step 3: Cross multiply
    150,623,576.50x = 232,751,834.50 × 232,751,834.50
  4. Step 4: Simplify right side
    150,623,576.50x = 54,173,416,463,115,392
  5. Step 5: Solve for x
    x = 54,173,416,463,115,392/150,623,576.50
  6. Step 6: Final answer
    x = 359,660,935.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.