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Finding the Third Proportional to 91,860.50 and 196,842

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Solution

The third proportional to 91,860.50 and 196,842 is: 421,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,860.50 : 196,842 = 196,842 : x
  2. Step 2: Convert to fraction form
    91,860.50/196,842 = 196,842/x
  3. Step 3: Cross multiply
    91,860.50x = 196,842 × 196,842
  4. Step 4: Simplify right side
    91,860.50x = 38,746,772,964
  5. Step 5: Solve for x
    x = 38,746,772,964/91,860.50
  6. Step 6: Final answer
    x = 421,800.15

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