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Finding the Third Proportional to 49,716,957 and 117,196,697.50

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Solution

The third proportional to 49,716,957 and 117,196,697.50 is: 276,265,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716,957 : 117,196,697.50 = 117,196,697.50 : x
  2. Step 2: Convert to fraction form
    49,716,957/117,196,697.50 = 117,196,697.50/x
  3. Step 3: Cross multiply
    49,716,957x = 117,196,697.50 × 117,196,697.50
  4. Step 4: Simplify right side
    49,716,957x = 13,735,065,904,906,506
  5. Step 5: Solve for x
    x = 13,735,065,904,906,506/49,716,957
  6. Step 6: Final answer
    x = 276,265,216.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.