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Finding the Third Proportional to 238,517,453.25 and 515,331,382.50

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Solution

The third proportional to 238,517,453.25 and 515,331,382.50 is: 1,113,404,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,517,453.25 : 515,331,382.50 = 515,331,382.50 : x
  2. Step 2: Convert to fraction form
    238,517,453.25/515,331,382.50 = 515,331,382.50/x
  3. Step 3: Cross multiply
    238,517,453.25x = 515,331,382.50 × 515,331,382.50
  4. Step 4: Simplify right side
    238,517,453.25x = 265,566,433,789,361,312
  5. Step 5: Solve for x
    x = 265,566,433,789,361,312/238,517,453.25
  6. Step 6: Final answer
    x = 1,113,404,617.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.