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Finding the Third Proportional to 117,714,904.50 and 274,947,660.75

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Solution

The third proportional to 117,714,904.50 and 274,947,660.75 is: 642,197,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714,904.50 : 274,947,660.75 = 274,947,660.75 : x
  2. Step 2: Convert to fraction form
    117,714,904.50/274,947,660.75 = 274,947,660.75/x
  3. Step 3: Cross multiply
    117,714,904.50x = 274,947,660.75 × 274,947,660.75
  4. Step 4: Simplify right side
    117,714,904.50x = 75,596,216,151,897,088
  5. Step 5: Solve for x
    x = 75,596,216,151,897,088/117,714,904.50
  6. Step 6: Final answer
    x = 642,197,489.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.