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Finding the Third Proportional to 44,863 and 97,157

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Solution

The third proportional to 44,863 and 97,157 is: 210,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,863 : 97,157 = 97,157 : x
  2. Step 2: Convert to fraction form
    44,863/97,157 = 97,157/x
  3. Step 3: Cross multiply
    44,863x = 97,157 × 97,157
  4. Step 4: Simplify right side
    44,863x = 9,439,482,649
  5. Step 5: Solve for x
    x = 9,439,482,649/44,863
  6. Step 6: Final answer
    x = 210,406.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.