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Finding the Third Proportional to 44,523.84 and 96,152.06

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Solution

The third proportional to 44,523.84 and 96,152.06 is: 207,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,523.84 : 96,152.06 = 96,152.06 : x
  2. Step 2: Convert to fraction form
    44,523.84/96,152.06 = 96,152.06/x
  3. Step 3: Cross multiply
    44,523.84x = 96,152.06 × 96,152.06
  4. Step 4: Simplify right side
    44,523.84x = 9,245,219,123.00
  5. Step 5: Solve for x
    x = 9,245,219,123.00/44,523.84
  6. Step 6: Final answer
    x = 207,646.47

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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.