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Finding the Third Proportional to 42,416,176.50 and 91,528,197.75

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Solution

The third proportional to 42,416,176.50 and 91,528,197.75 is: 197,505,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416,176.50 : 91,528,197.75 = 91,528,197.75 : x
  2. Step 2: Convert to fraction form
    42,416,176.50/91,528,197.75 = 91,528,197.75/x
  3. Step 3: Cross multiply
    42,416,176.50x = 91,528,197.75 × 91,528,197.75
  4. Step 4: Simplify right side
    42,416,176.50x = 8,377,410,983,363,105
  5. Step 5: Solve for x
    x = 8,377,410,983,363,105/42,416,176.50
  6. Step 6: Final answer
    x = 197,505,095.33

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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.