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Finding the Third Proportional to 45,823 and 97,888

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Solution

The third proportional to 45,823 and 97,888 is: 209,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,823 : 97,888 = 97,888 : x
  2. Step 2: Convert to fraction form
    45,823/97,888 = 97,888/x
  3. Step 3: Cross multiply
    45,823x = 97,888 × 97,888
  4. Step 4: Simplify right side
    45,823x = 9,582,060,544
  5. Step 5: Solve for x
    x = 9,582,060,544/45,823
  6. Step 6: Final answer
    x = 209,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.