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Finding the Third Proportional to 85,026,313.50 and 127,517,296.50

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Solution

The third proportional to 85,026,313.50 and 127,517,296.50 is: 191,242,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,026,313.50 : 127,517,296.50 = 127,517,296.50 : x
  2. Step 2: Convert to fraction form
    85,026,313.50/127,517,296.50 = 127,517,296.50/x
  3. Step 3: Cross multiply
    85,026,313.50x = 127,517,296.50 × 127,517,296.50
  4. Step 4: Simplify right side
    85,026,313.50x = 16,260,660,906,668,912
  5. Step 5: Solve for x
    x = 16,260,660,906,668,912/85,026,313.50
  6. Step 6: Final answer
    x = 191,242,689.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.