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Finding the Third Proportional to 86,984 and 191,952

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Solution

The third proportional to 86,984 and 191,952 is: 423,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 191,952 = 191,952 : x
  2. Step 2: Convert to fraction form
    86,984/191,952 = 191,952/x
  3. Step 3: Cross multiply
    86,984x = 191,952 × 191,952
  4. Step 4: Simplify right side
    86,984x = 36,845,570,304
  5. Step 5: Solve for x
    x = 36,845,570,304/86,984
  6. Step 6: Final answer
    x = 423,590.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.