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Finding the Third Proportional to 181,422,256 and 280,153,712

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Solution

The third proportional to 181,422,256 and 280,153,712 is: 432,615,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,422,256 : 280,153,712 = 280,153,712 : x
  2. Step 2: Convert to fraction form
    181,422,256/280,153,712 = 280,153,712/x
  3. Step 3: Cross multiply
    181,422,256x = 280,153,712 × 280,153,712
  4. Step 4: Simplify right side
    181,422,256x = 78,486,102,347,378,944
  5. Step 5: Solve for x
    x = 78,486,102,347,378,944/181,422,256
  6. Step 6: Final answer
    x = 432,615,623.23

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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.