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Finding the Third Proportional to 80,615,634.75 and 164,614,963.50

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Solution

The third proportional to 80,615,634.75 and 164,614,963.50 is: 336,139,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,615,634.75 : 164,614,963.50 = 164,614,963.50 : x
  2. Step 2: Convert to fraction form
    80,615,634.75/164,614,963.50 = 164,614,963.50/x
  3. Step 3: Cross multiply
    80,615,634.75x = 164,614,963.50 × 164,614,963.50
  4. Step 4: Simplify right side
    80,615,634.75x = 27,098,086,208,106,332
  5. Step 5: Solve for x
    x = 27,098,086,208,106,332/80,615,634.75
  6. Step 6: Final answer
    x = 336,139,339.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.