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Finding the Third Proportional to 113,711,935.50 and 174,675,441.94

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Solution

The third proportional to 113,711,935.50 and 174,675,441.94 is: 268,322,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,711,935.50 : 174,675,441.94 = 174,675,441.94 : x
  2. Step 2: Convert to fraction form
    113,711,935.50/174,675,441.94 = 174,675,441.94/x
  3. Step 3: Cross multiply
    113,711,935.50x = 174,675,441.94 × 174,675,441.94
  4. Step 4: Simplify right side
    113,711,935.50x = 30,511,510,016,060,932
  5. Step 5: Solve for x
    x = 30,511,510,016,060,932/113,711,935.50
  6. Step 6: Final answer
    x = 268,322,844.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.