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Finding the Third Proportional to 98,141.63 and 214,975.27

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Solution

The third proportional to 98,141.63 and 214,975.27 is: 470,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,141.63 : 214,975.27 = 214,975.27 : x
  2. Step 2: Convert to fraction form
    98,141.63/214,975.27 = 214,975.27/x
  3. Step 3: Cross multiply
    98,141.63x = 214,975.27 × 214,975.27
  4. Step 4: Simplify right side
    98,141.63x = 46,214,364,830.54
  5. Step 5: Solve for x
    x = 46,214,364,830.54/98,141.63
  6. Step 6: Final answer
    x = 470,894.64

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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.