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Finding the Third Proportional to 98,276.63 and 213,239.25

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Solution

The third proportional to 98,276.63 and 213,239.25 is: 462,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,276.63 : 213,239.25 = 213,239.25 : x
  2. Step 2: Convert to fraction form
    98,276.63/213,239.25 = 213,239.25/x
  3. Step 3: Cross multiply
    98,276.63x = 213,239.25 × 213,239.25
  4. Step 4: Simplify right side
    98,276.63x = 45,470,977,740.56
  5. Step 5: Solve for x
    x = 45,470,977,740.56/98,276.63
  6. Step 6: Final answer
    x = 462,683.55

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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.