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Finding the Third Proportional to 44,246 and 97,240

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Solution

The third proportional to 44,246 and 97,240 is: 213,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,246 : 97,240 = 97,240 : x
  2. Step 2: Convert to fraction form
    44,246/97,240 = 97,240/x
  3. Step 3: Cross multiply
    44,246x = 97,240 × 97,240
  4. Step 4: Simplify right side
    44,246x = 9,455,617,600
  5. Step 5: Solve for x
    x = 9,455,617,600/44,246
  6. Step 6: Final answer
    x = 213,705.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.