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Finding the Third Proportional to 92,064 and 198,618

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Solution

The third proportional to 92,064 and 198,618 is: 428,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064 : 198,618 = 198,618 : x
  2. Step 2: Convert to fraction form
    92,064/198,618 = 198,618/x
  3. Step 3: Cross multiply
    92,064x = 198,618 × 198,618
  4. Step 4: Simplify right side
    92,064x = 39,449,109,924
  5. Step 5: Solve for x
    x = 39,449,109,924/92,064
  6. Step 6: Final answer
    x = 428,496.59

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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.