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Finding the Third Proportional to 270,278,221.50 and 590,098,556.25

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Solution

The third proportional to 270,278,221.50 and 590,098,556.25 is: 1,288,362,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,278,221.50 : 590,098,556.25 = 590,098,556.25 : x
  2. Step 2: Convert to fraction form
    270,278,221.50/590,098,556.25 = 590,098,556.25/x
  3. Step 3: Cross multiply
    270,278,221.50x = 590,098,556.25 × 590,098,556.25
  4. Step 4: Simplify right side
    270,278,221.50x = 348,216,306,088,334,400
  5. Step 5: Solve for x
    x = 348,216,306,088,334,400/270,278,221.50
  6. Step 6: Final answer
    x = 1,288,362,429.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.