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Finding the Third Proportional to 270,278,221.50 and 590,098,552.88

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Solution

The third proportional to 270,278,221.50 and 590,098,552.88 is: 1,288,362,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,278,221.50 : 590,098,552.88 = 590,098,552.88 : x
  2. Step 2: Convert to fraction form
    270,278,221.50/590,098,552.88 = 590,098,552.88/x
  3. Step 3: Cross multiply
    270,278,221.50x = 590,098,552.88 × 590,098,552.88
  4. Step 4: Simplify right side
    270,278,221.50x = 348,216,302,105,169,152
  5. Step 5: Solve for x
    x = 348,216,302,105,169,152/270,278,221.50
  6. Step 6: Final answer
    x = 1,288,362,414.75

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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.