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Finding the Third Proportional to 77,744,570.25 and 179,983,600.50

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Solution

The third proportional to 77,744,570.25 and 179,983,600.50 is: 416,673,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,570.25 : 179,983,600.50 = 179,983,600.50 : x
  2. Step 2: Convert to fraction form
    77,744,570.25/179,983,600.50 = 179,983,600.50/x
  3. Step 3: Cross multiply
    77,744,570.25x = 179,983,600.50 × 179,983,600.50
  4. Step 4: Simplify right side
    77,744,570.25x = 32,394,096,448,943,600
  5. Step 5: Solve for x
    x = 32,394,096,448,943,600/77,744,570.25
  6. Step 6: Final answer
    x = 416,673,426.13

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