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Finding the Third Proportional to 89,315.98 and 191,583.09

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Solution

The third proportional to 89,315.98 and 191,583.09 is: 410,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,315.98 : 191,583.09 = 191,583.09 : x
  2. Step 2: Convert to fraction form
    89,315.98/191,583.09 = 191,583.09/x
  3. Step 3: Cross multiply
    89,315.98x = 191,583.09 × 191,583.09
  4. Step 4: Simplify right side
    89,315.98x = 36,704,081,810.82
  5. Step 5: Solve for x
    x = 36,704,081,810.82/89,315.98
  6. Step 6: Final answer
    x = 410,946.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.