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Finding the Third Proportional to 80,601,681.75 and 174,887,967.75

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Solution

The third proportional to 80,601,681.75 and 174,887,967.75 is: 379,468,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,601,681.75 : 174,887,967.75 = 174,887,967.75 : x
  2. Step 2: Convert to fraction form
    80,601,681.75/174,887,967.75 = 174,887,967.75/x
  3. Step 3: Cross multiply
    80,601,681.75x = 174,887,967.75 × 174,887,967.75
  4. Step 4: Simplify right side
    80,601,681.75x = 30,585,801,263,725,040
  5. Step 5: Solve for x
    x = 30,585,801,263,725,040/80,601,681.75
  6. Step 6: Final answer
    x = 379,468,524.72

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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.