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Finding the Third Proportional to 117,150,816.75 and 243,998,135.25

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Solution

The third proportional to 117,150,816.75 and 243,998,135.25 is: 508,191,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,150,816.75 : 243,998,135.25 = 243,998,135.25 : x
  2. Step 2: Convert to fraction form
    117,150,816.75/243,998,135.25 = 243,998,135.25/x
  3. Step 3: Cross multiply
    117,150,816.75x = 243,998,135.25 × 243,998,135.25
  4. Step 4: Simplify right side
    117,150,816.75x = 59,535,090,005,477,296
  5. Step 5: Solve for x
    x = 59,535,090,005,477,296/117,150,816.75
  6. Step 6: Final answer
    x = 508,191,847.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.