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Finding the Third Proportional to 104,769 and 219,802.50

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Solution

The third proportional to 104,769 and 219,802.50 is: 461,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,769 : 219,802.50 = 219,802.50 : x
  2. Step 2: Convert to fraction form
    104,769/219,802.50 = 219,802.50/x
  3. Step 3: Cross multiply
    104,769x = 219,802.50 × 219,802.50
  4. Step 4: Simplify right side
    104,769x = 48,313,139,006.25
  5. Step 5: Solve for x
    x = 48,313,139,006.25/104,769
  6. Step 6: Final answer
    x = 461,139.64

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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.