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Finding the Third Proportional to 45,818 and 97,636

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Solution

The third proportional to 45,818 and 97,636 is: 208,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,818 : 97,636 = 97,636 : x
  2. Step 2: Convert to fraction form
    45,818/97,636 = 97,636/x
  3. Step 3: Cross multiply
    45,818x = 97,636 × 97,636
  4. Step 4: Simplify right side
    45,818x = 9,532,788,496
  5. Step 5: Solve for x
    x = 9,532,788,496/45,818
  6. Step 6: Final answer
    x = 208,057.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.