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Finding the Third Proportional to 44,767.69 and 96,916.50

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Solution

The third proportional to 44,767.69 and 96,916.50 is: 209,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,767.69 : 96,916.50 = 96,916.50 : x
  2. Step 2: Convert to fraction form
    44,767.69/96,916.50 = 96,916.50/x
  3. Step 3: Cross multiply
    44,767.69x = 96,916.50 × 96,916.50
  4. Step 4: Simplify right side
    44,767.69x = 9,392,807,972.25
  5. Step 5: Solve for x
    x = 9,392,807,972.25/44,767.69
  6. Step 6: Final answer
    x = 209,812.22

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Why These Related Problems?

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