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Finding the Third Proportional to 181,422,264 and 280,153,724

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Solution

The third proportional to 181,422,264 and 280,153,724 is: 432,615,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,422,264 : 280,153,724 = 280,153,724 : x
  2. Step 2: Convert to fraction form
    181,422,264/280,153,724 = 280,153,724/x
  3. Step 3: Cross multiply
    181,422,264x = 280,153,724 × 280,153,724
  4. Step 4: Simplify right side
    181,422,264x = 78,486,109,071,068,176
  5. Step 5: Solve for x
    x = 78,486,109,071,068,176/181,422,264
  6. Step 6: Final answer
    x = 432,615,641.22

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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.