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Finding the Third Proportional to 92,010 and 197,136

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Solution

The third proportional to 92,010 and 197,136 is: 422,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,010 : 197,136 = 197,136 : x
  2. Step 2: Convert to fraction form
    92,010/197,136 = 197,136/x
  3. Step 3: Cross multiply
    92,010x = 197,136 × 197,136
  4. Step 4: Simplify right side
    92,010x = 38,862,602,496
  5. Step 5: Solve for x
    x = 38,862,602,496/92,010
  6. Step 6: Final answer
    x = 422,373.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.