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Finding the Third Proportional to 113,286,097.13 and 174,933,559.13

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Solution

The third proportional to 113,286,097.13 and 174,933,559.13 is: 270,128,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,286,097.13 : 174,933,559.13 = 174,933,559.13 : x
  2. Step 2: Convert to fraction form
    113,286,097.13/174,933,559.13 = 174,933,559.13/x
  3. Step 3: Cross multiply
    113,286,097.13x = 174,933,559.13 × 174,933,559.13
  4. Step 4: Simplify right side
    113,286,097.13x = 30,601,750,108,139,872
  5. Step 5: Solve for x
    x = 30,601,750,108,139,872/113,286,097.13
  6. Step 6: Final answer
    x = 270,128,028.81

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Why These Related Problems?

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