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Finding the Third Proportional to 86,931 and 190,453

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Solution

The third proportional to 86,931 and 190,453 is: 417,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,931 : 190,453 = 190,453 : x
  2. Step 2: Convert to fraction form
    86,931/190,453 = 190,453/x
  3. Step 3: Cross multiply
    86,931x = 190,453 × 190,453
  4. Step 4: Simplify right side
    86,931x = 36,272,345,209
  5. Step 5: Solve for x
    x = 36,272,345,209/86,931
  6. Step 6: Final answer
    x = 417,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.