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Finding the Third Proportional to 99,696 and 215,044.50

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Solution

The third proportional to 99,696 and 215,044.50 is: 463,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696 : 215,044.50 = 215,044.50 : x
  2. Step 2: Convert to fraction form
    99,696/215,044.50 = 215,044.50/x
  3. Step 3: Cross multiply
    99,696x = 215,044.50 × 215,044.50
  4. Step 4: Simplify right side
    99,696x = 46,244,136,980.25
  5. Step 5: Solve for x
    x = 46,244,136,980.25/99,696
  6. Step 6: Final answer
    x = 463,851.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.