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Finding the Third Proportional to 185,471,240 and 272,535,728

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Solution

The third proportional to 185,471,240 and 272,535,728 is: 400,470,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,471,240 : 272,535,728 = 272,535,728 : x
  2. Step 2: Convert to fraction form
    185,471,240/272,535,728 = 272,535,728/x
  3. Step 3: Cross multiply
    185,471,240x = 272,535,728 × 272,535,728
  4. Step 4: Simplify right side
    185,471,240x = 74,275,723,036,489,984
  5. Step 5: Solve for x
    x = 74,275,723,036,489,984/185,471,240
  6. Step 6: Final answer
    x = 400,470,299.53

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