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Finding the Third Proportional to 212,135.13 and 460,431.49

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Solution

The third proportional to 212,135.13 and 460,431.49 is: 999,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,135.13 : 460,431.49 = 460,431.49 : x
  2. Step 2: Convert to fraction form
    212,135.13/460,431.49 = 460,431.49/x
  3. Step 3: Cross multiply
    212,135.13x = 460,431.49 × 460,431.49
  4. Step 4: Simplify right side
    212,135.13x = 211,997,158,998.01
  5. Step 5: Solve for x
    x = 211,997,158,998.01/212,135.13
  6. Step 6: Final answer
    x = 999,349.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.