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Finding the Third Proportional to 97,984 and 151,396

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Solution

The third proportional to 97,984 and 151,396 is: 233,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,984 : 151,396 = 151,396 : x
  2. Step 2: Convert to fraction form
    97,984/151,396 = 151,396/x
  3. Step 3: Cross multiply
    97,984x = 151,396 × 151,396
  4. Step 4: Simplify right side
    97,984x = 22,920,748,816
  5. Step 5: Solve for x
    x = 22,920,748,816/97,984
  6. Step 6: Final answer
    x = 233,923.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.