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Finding the Third Proportional to 216,849.23 and 469,898.30

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Solution

The third proportional to 216,849.23 and 469,898.30 is: 1,018,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,849.23 : 469,898.30 = 469,898.30 : x
  2. Step 2: Convert to fraction form
    216,849.23/469,898.30 = 469,898.30/x
  3. Step 3: Cross multiply
    216,849.23x = 469,898.30 × 469,898.30
  4. Step 4: Simplify right side
    216,849.23x = 220,804,409,406.03
  5. Step 5: Solve for x
    x = 220,804,409,406.03/216,849.23
  6. Step 6: Final answer
    x = 1,018,239.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.