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Finding the Third Proportional to 98,277.19 and 214,957.13

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Solution

The third proportional to 98,277.19 and 214,957.13 is: 470,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277.19 : 214,957.13 = 214,957.13 : x
  2. Step 2: Convert to fraction form
    98,277.19/214,957.13 = 214,957.13/x
  3. Step 3: Cross multiply
    98,277.19x = 214,957.13 × 214,957.13
  4. Step 4: Simplify right side
    98,277.19x = 46,206,565,588.27
  5. Step 5: Solve for x
    x = 46,206,565,588.27/98,277.19
  6. Step 6: Final answer
    x = 470,165.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.