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Finding the Third Proportional to 98,876.63 and 204,762.94

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Solution

The third proportional to 98,876.63 and 204,762.94 is: 424,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,876.63 : 204,762.94 = 204,762.94 : x
  2. Step 2: Convert to fraction form
    98,876.63/204,762.94 = 204,762.94/x
  3. Step 3: Cross multiply
    98,876.63x = 204,762.94 × 204,762.94
  4. Step 4: Simplify right side
    98,876.63x = 41,927,860,573.63
  5. Step 5: Solve for x
    x = 41,927,860,573.63/98,876.63
  6. Step 6: Final answer
    x = 424,042.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.