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Finding the Third Proportional to 212,122.13 and 446,056.88

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Solution

The third proportional to 212,122.13 and 446,056.88 is: 937,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,122.13 : 446,056.88 = 446,056.88 : x
  2. Step 2: Convert to fraction form
    212,122.13/446,056.88 = 446,056.88/x
  3. Step 3: Cross multiply
    212,122.13x = 446,056.88 × 446,056.88
  4. Step 4: Simplify right side
    212,122.13x = 198,966,735,734.77
  5. Step 5: Solve for x
    x = 198,966,735,734.77/212,122.13
  6. Step 6: Final answer
    x = 937,982.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.