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Finding the Third Proportional to 91,470 and 199,696

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Solution

The third proportional to 91,470 and 199,696 is: 435,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,470 : 199,696 = 199,696 : x
  2. Step 2: Convert to fraction form
    91,470/199,696 = 199,696/x
  3. Step 3: Cross multiply
    91,470x = 199,696 × 199,696
  4. Step 4: Simplify right side
    91,470x = 39,878,492,416
  5. Step 5: Solve for x
    x = 39,878,492,416/91,470
  6. Step 6: Final answer
    x = 435,973.46

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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.