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Finding the Third Proportional to 85,482.84 and 197,894.07

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Solution

The third proportional to 85,482.84 and 197,894.07 is: 458,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,482.84 : 197,894.07 = 197,894.07 : x
  2. Step 2: Convert to fraction form
    85,482.84/197,894.07 = 197,894.07/x
  3. Step 3: Cross multiply
    85,482.84x = 197,894.07 × 197,894.07
  4. Step 4: Simplify right side
    85,482.84x = 39,162,064,610.90
  5. Step 5: Solve for x
    x = 39,162,064,610.90/85,482.84
  6. Step 6: Final answer
    x = 458,127.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.