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Finding the Third Proportional to 85,064.34 and 185,693.34

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Solution

The third proportional to 85,064.34 and 185,693.34 is: 405,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,064.34 : 185,693.34 = 185,693.34 : x
  2. Step 2: Convert to fraction form
    85,064.34/185,693.34 = 185,693.34/x
  3. Step 3: Cross multiply
    85,064.34x = 185,693.34 × 185,693.34
  4. Step 4: Simplify right side
    85,064.34x = 34,482,017,913.06
  5. Step 5: Solve for x
    x = 34,482,017,913.06/85,064.34
  6. Step 6: Final answer
    x = 405,363.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.