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Finding the Third Proportional to 99,746 and 218,260

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Solution

The third proportional to 99,746 and 218,260 is: 477,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,746 : 218,260 = 218,260 : x
  2. Step 2: Convert to fraction form
    99,746/218,260 = 218,260/x
  3. Step 3: Cross multiply
    99,746x = 218,260 × 218,260
  4. Step 4: Simplify right side
    99,746x = 47,637,427,600
  5. Step 5: Solve for x
    x = 47,637,427,600/99,746
  6. Step 6: Final answer
    x = 477,587.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.