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Finding the Third Proportional to 113,286,150 and 174,933,640.13

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Solution

The third proportional to 113,286,150 and 174,933,640.13 is: 270,128,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,286,150 : 174,933,640.13 = 174,933,640.13 : x
  2. Step 2: Convert to fraction form
    113,286,150/174,933,640.13 = 174,933,640.13/x
  3. Step 3: Cross multiply
    113,286,150x = 174,933,640.13 × 174,933,640.13
  4. Step 4: Simplify right side
    113,286,150x = 30,601,778,447,383,012
  5. Step 5: Solve for x
    x = 30,601,778,447,383,012/113,286,150
  6. Step 6: Final answer
    x = 270,128,152.89

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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.