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Finding the Third Proportional to 75,148,179 and 165,582,653.25

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Solution

The third proportional to 75,148,179 and 165,582,653.25 is: 364,847,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,148,179 : 165,582,653.25 = 165,582,653.25 : x
  2. Step 2: Convert to fraction form
    75,148,179/165,582,653.25 = 165,582,653.25/x
  3. Step 3: Cross multiply
    75,148,179x = 165,582,653.25 × 165,582,653.25
  4. Step 4: Simplify right side
    75,148,179x = 27,417,615,057,309,736
  5. Step 5: Solve for x
    x = 27,417,615,057,309,736/75,148,179
  6. Step 6: Final answer
    x = 364,847,364.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.