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Finding the Third Proportional to 113,286,012.75 and 174,933,423.56

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Solution

The third proportional to 113,286,012.75 and 174,933,423.56 is: 270,127,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,286,012.75 : 174,933,423.56 = 174,933,423.56 : x
  2. Step 2: Convert to fraction form
    113,286,012.75/174,933,423.56 = 174,933,423.56/x
  3. Step 3: Cross multiply
    113,286,012.75x = 174,933,423.56 × 174,933,423.56
  4. Step 4: Simplify right side
    113,286,012.75x = 30,601,702,679,297,032
  5. Step 5: Solve for x
    x = 30,601,702,679,297,032/113,286,012.75
  6. Step 6: Final answer
    x = 270,127,811.34

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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.