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Finding the Third Proportional to 77,463 and 164,229.19

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Solution

The third proportional to 77,463 and 164,229.19 is: 348,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463 : 164,229.19 = 164,229.19 : x
  2. Step 2: Convert to fraction form
    77,463/164,229.19 = 164,229.19/x
  3. Step 3: Cross multiply
    77,463x = 164,229.19 × 164,229.19
  4. Step 4: Simplify right side
    77,463x = 26,971,226,026.91
  5. Step 5: Solve for x
    x = 26,971,226,026.91/77,463
  6. Step 6: Final answer
    x = 348,182.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.