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Finding the Third Proportional to 185,266,224 and 272,510,568

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Solution

The third proportional to 185,266,224 and 272,510,568 is: 400,839,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,266,224 : 272,510,568 = 272,510,568 : x
  2. Step 2: Convert to fraction form
    185,266,224/272,510,568 = 272,510,568/x
  3. Step 3: Cross multiply
    185,266,224x = 272,510,568 × 272,510,568
  4. Step 4: Simplify right side
    185,266,224x = 74,262,009,671,682,624
  5. Step 5: Solve for x
    x = 74,262,009,671,682,624/185,266,224
  6. Step 6: Final answer
    x = 400,839,441.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.