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Finding the Third Proportional to 45,407 and 96,222

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Solution

The third proportional to 45,407 and 96,222 is: 203,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407 : 96,222 = 96,222 : x
  2. Step 2: Convert to fraction form
    45,407/96,222 = 96,222/x
  3. Step 3: Cross multiply
    45,407x = 96,222 × 96,222
  4. Step 4: Simplify right side
    45,407x = 9,258,673,284
  5. Step 5: Solve for x
    x = 9,258,673,284/45,407
  6. Step 6: Final answer
    x = 203,904.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.