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Finding the Third Proportional to 44,385.47 and 95,916.66

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Solution

The third proportional to 44,385.47 and 95,916.66 is: 207,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,385.47 : 95,916.66 = 95,916.66 : x
  2. Step 2: Convert to fraction form
    44,385.47/95,916.66 = 95,916.66/x
  3. Step 3: Cross multiply
    44,385.47x = 95,916.66 × 95,916.66
  4. Step 4: Simplify right side
    44,385.47x = 9,200,004,946.18
  5. Step 5: Solve for x
    x = 9,200,004,946.18/44,385.47
  6. Step 6: Final answer
    x = 207,275.16

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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.