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Finding the Third Proportional to 99,297.50 and 212,808.50

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Solution

The third proportional to 99,297.50 and 212,808.50 is: 456,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,297.50 : 212,808.50 = 212,808.50 : x
  2. Step 2: Convert to fraction form
    99,297.50/212,808.50 = 212,808.50/x
  3. Step 3: Cross multiply
    99,297.50x = 212,808.50 × 212,808.50
  4. Step 4: Simplify right side
    99,297.50x = 45,287,457,672.25
  5. Step 5: Solve for x
    x = 45,287,457,672.25/99,297.50
  6. Step 6: Final answer
    x = 456,078.53

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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.