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Finding the Third Proportional to 44,946 and 98,196

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Solution

The third proportional to 44,946 and 98,196 is: 214,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,946 : 98,196 = 98,196 : x
  2. Step 2: Convert to fraction form
    44,946/98,196 = 98,196/x
  3. Step 3: Cross multiply
    44,946x = 98,196 × 98,196
  4. Step 4: Simplify right side
    44,946x = 9,642,454,416
  5. Step 5: Solve for x
    x = 9,642,454,416/44,946
  6. Step 6: Final answer
    x = 214,534.21

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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.