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Finding the Third Proportional to 150,733,209.75 and 326,507,834.25

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Solution

The third proportional to 150,733,209.75 and 326,507,834.25 is: 707,258,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,733,209.75 : 326,507,834.25 = 326,507,834.25 : x
  2. Step 2: Convert to fraction form
    150,733,209.75/326,507,834.25 = 326,507,834.25/x
  3. Step 3: Cross multiply
    150,733,209.75x = 326,507,834.25 × 326,507,834.25
  4. Step 4: Simplify right side
    150,733,209.75x = 106,607,365,826,625,472
  5. Step 5: Solve for x
    x = 106,607,365,826,625,472/150,733,209.75
  6. Step 6: Final answer
    x = 707,258,645.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.