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Finding the Third Proportional to 44,706 and 96,438

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Solution

The third proportional to 44,706 and 96,438 is: 208,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,706 : 96,438 = 96,438 : x
  2. Step 2: Convert to fraction form
    44,706/96,438 = 96,438/x
  3. Step 3: Cross multiply
    44,706x = 96,438 × 96,438
  4. Step 4: Simplify right side
    44,706x = 9,300,287,844
  5. Step 5: Solve for x
    x = 9,300,287,844/44,706
  6. Step 6: Final answer
    x = 208,032.21

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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.