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Finding the Third Proportional to 105,697.13 and 221,779.13

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Solution

The third proportional to 105,697.13 and 221,779.13 is: 465,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.13 : 221,779.13 = 221,779.13 : x
  2. Step 2: Convert to fraction form
    105,697.13/221,779.13 = 221,779.13/x
  3. Step 3: Cross multiply
    105,697.13x = 221,779.13 × 221,779.13
  4. Step 4: Simplify right side
    105,697.13x = 49,185,980,285.77
  5. Step 5: Solve for x
    x = 49,185,980,285.77/105,697.13
  6. Step 6: Final answer
    x = 465,348.33

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Why These Related Problems?

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