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Finding the Third Proportional to 104,298.26 and 223,353.07

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Solution

The third proportional to 104,298.26 and 223,353.07 is: 478,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,298.26 : 223,353.07 = 223,353.07 : x
  2. Step 2: Convert to fraction form
    104,298.26/223,353.07 = 223,353.07/x
  3. Step 3: Cross multiply
    104,298.26x = 223,353.07 × 223,353.07
  4. Step 4: Simplify right side
    104,298.26x = 49,886,594,018.02
  5. Step 5: Solve for x
    x = 49,886,594,018.02/104,298.26
  6. Step 6: Final answer
    x = 478,307.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.