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Finding the Third Proportional to 80,601,657 and 174,887,918.50

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Solution

The third proportional to 80,601,657 and 174,887,918.50 is: 379,468,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,601,657 : 174,887,918.50 = 174,887,918.50 : x
  2. Step 2: Convert to fraction form
    80,601,657/174,887,918.50 = 174,887,918.50/x
  3. Step 3: Cross multiply
    80,601,657x = 174,887,918.50 × 174,887,918.50
  4. Step 4: Simplify right side
    80,601,657x = 30,585,784,037,262,644
  5. Step 5: Solve for x
    x = 30,585,784,037,262,644/80,601,657
  6. Step 6: Final answer
    x = 379,468,427.52

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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.