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Finding the Third Proportional to 77,744,473.50 and 179,983,359.75

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Solution

The third proportional to 77,744,473.50 and 179,983,359.75 is: 416,672,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,473.50 : 179,983,359.75 = 179,983,359.75 : x
  2. Step 2: Convert to fraction form
    77,744,473.50/179,983,359.75 = 179,983,359.75/x
  3. Step 3: Cross multiply
    77,744,473.50x = 179,983,359.75 × 179,983,359.75
  4. Step 4: Simplify right side
    77,744,473.50x = 32,394,009,786,897,920
  5. Step 5: Solve for x
    x = 32,394,009,786,897,920/77,744,473.50
  6. Step 6: Final answer
    x = 416,672,829.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.