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Finding the Third Proportional to 104,139 and 221,359.50

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Solution

The third proportional to 104,139 and 221,359.50 is: 470,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,139 : 221,359.50 = 221,359.50 : x
  2. Step 2: Convert to fraction form
    104,139/221,359.50 = 221,359.50/x
  3. Step 3: Cross multiply
    104,139x = 221,359.50 × 221,359.50
  4. Step 4: Simplify right side
    104,139x = 49,000,028,240.25
  5. Step 5: Solve for x
    x = 49,000,028,240.25/104,139
  6. Step 6: Final answer
    x = 470,525.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.