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Finding the Third Proportional to 98,764.31 and 213,323.63

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Solution

The third proportional to 98,764.31 and 213,323.63 is: 460,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764.31 : 213,323.63 = 213,323.63 : x
  2. Step 2: Convert to fraction form
    98,764.31/213,323.63 = 213,323.63/x
  3. Step 3: Cross multiply
    98,764.31x = 213,323.63 × 213,323.63
  4. Step 4: Simplify right side
    98,764.31x = 45,506,968,983.14
  5. Step 5: Solve for x
    x = 45,506,968,983.14/98,764.31
  6. Step 6: Final answer
    x = 460,763.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.