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Finding the Third Proportional to 88,412 and 190,943

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Solution

The third proportional to 88,412 and 190,943 is: 412,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,412 : 190,943 = 190,943 : x
  2. Step 2: Convert to fraction form
    88,412/190,943 = 190,943/x
  3. Step 3: Cross multiply
    88,412x = 190,943 × 190,943
  4. Step 4: Simplify right side
    88,412x = 36,459,229,249
  5. Step 5: Solve for x
    x = 36,459,229,249/88,412
  6. Step 6: Final answer
    x = 412,378.74

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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.