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Finding the Third Proportional to 191,890.03 and 417,821.65

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Solution

The third proportional to 191,890.03 and 417,821.65 is: 909,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,890.03 : 417,821.65 = 417,821.65 : x
  2. Step 2: Convert to fraction form
    191,890.03/417,821.65 = 417,821.65/x
  3. Step 3: Cross multiply
    191,890.03x = 417,821.65 × 417,821.65
  4. Step 4: Simplify right side
    191,890.03x = 174,574,932,351.20
  5. Step 5: Solve for x
    x = 174,574,932,351.20/191,890.03
  6. Step 6: Final answer
    x = 909,765.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.