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Finding the Third Proportional to 99,061 and 216,175

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Solution

The third proportional to 99,061 and 216,175 is: 471,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,061 : 216,175 = 216,175 : x
  2. Step 2: Convert to fraction form
    99,061/216,175 = 216,175/x
  3. Step 3: Cross multiply
    99,061x = 216,175 × 216,175
  4. Step 4: Simplify right side
    99,061x = 46,731,630,625
  5. Step 5: Solve for x
    x = 46,731,630,625/99,061
  6. Step 6: Final answer
    x = 471,746.00

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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.