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Finding the Third Proportional to 88,971 and 193,430

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Solution

The third proportional to 88,971 and 193,430 is: 420,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,971 : 193,430 = 193,430 : x
  2. Step 2: Convert to fraction form
    88,971/193,430 = 193,430/x
  3. Step 3: Cross multiply
    88,971x = 193,430 × 193,430
  4. Step 4: Simplify right side
    88,971x = 37,415,164,900
  5. Step 5: Solve for x
    x = 37,415,164,900/88,971
  6. Step 6: Final answer
    x = 420,532.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.