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Finding the Third Proportional to 96,066 and 209,358

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Solution

The third proportional to 96,066 and 209,358 is: 456,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,066 : 209,358 = 209,358 : x
  2. Step 2: Convert to fraction form
    96,066/209,358 = 209,358/x
  3. Step 3: Cross multiply
    96,066x = 209,358 × 209,358
  4. Step 4: Simplify right side
    96,066x = 43,830,772,164
  5. Step 5: Solve for x
    x = 43,830,772,164/96,066
  6. Step 6: Final answer
    x = 456,256.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.