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Finding the Third Proportional to 105,477.19 and 214,871.06

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Solution

The third proportional to 105,477.19 and 214,871.06 is: 437,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.19 : 214,871.06 = 214,871.06 : x
  2. Step 2: Convert to fraction form
    105,477.19/214,871.06 = 214,871.06/x
  3. Step 3: Cross multiply
    105,477.19x = 214,871.06 × 214,871.06
  4. Step 4: Simplify right side
    105,477.19x = 46,169,573,499.88
  5. Step 5: Solve for x
    x = 46,169,573,499.88/105,477.19
  6. Step 6: Final answer
    x = 437,720.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.