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Finding the Third Proportional to 80,359,983 and 174,419,329.50

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Solution

The third proportional to 80,359,983 and 174,419,329.50 is: 378,572,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,359,983 : 174,419,329.50 = 174,419,329.50 : x
  2. Step 2: Convert to fraction form
    80,359,983/174,419,329.50 = 174,419,329.50/x
  3. Step 3: Cross multiply
    80,359,983x = 174,419,329.50 × 174,419,329.50
  4. Step 4: Simplify right side
    80,359,983x = 30,422,102,503,229,572
  5. Step 5: Solve for x
    x = 30,422,102,503,229,572/80,359,983
  6. Step 6: Final answer
    x = 378,572,784.21

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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.