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Finding the Third Proportional to 220,085.86 and 463,814.86

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Solution

The third proportional to 220,085.86 and 463,814.86 is: 977,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,085.86 : 463,814.86 = 463,814.86 : x
  2. Step 2: Convert to fraction form
    220,085.86/463,814.86 = 463,814.86/x
  3. Step 3: Cross multiply
    220,085.86x = 463,814.86 × 463,814.86
  4. Step 4: Simplify right side
    220,085.86x = 215,124,223,777.05
  5. Step 5: Solve for x
    x = 215,124,223,777.05/220,085.86
  6. Step 6: Final answer
    x = 977,455.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.