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Finding the Third Proportional to 80,360,148.50 and 174,419,664.50

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Solution

The third proportional to 80,360,148.50 and 174,419,664.50 is: 378,573,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,148.50 : 174,419,664.50 = 174,419,664.50 : x
  2. Step 2: Convert to fraction form
    80,360,148.50/174,419,664.50 = 174,419,664.50/x
  3. Step 3: Cross multiply
    80,360,148.50x = 174,419,664.50 × 174,419,664.50
  4. Step 4: Simplify right side
    80,360,148.50x = 30,422,219,364,292,560
  5. Step 5: Solve for x
    x = 30,422,219,364,292,560/80,360,148.50
  6. Step 6: Final answer
    x = 378,573,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.