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Finding the Third Proportional to 98,114.63 and 208,024.88

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Solution

The third proportional to 98,114.63 and 208,024.88 is: 441,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.63 : 208,024.88 = 208,024.88 : x
  2. Step 2: Convert to fraction form
    98,114.63/208,024.88 = 208,024.88/x
  3. Step 3: Cross multiply
    98,114.63x = 208,024.88 × 208,024.88
  4. Step 4: Simplify right side
    98,114.63x = 43,274,348,618.77
  5. Step 5: Solve for x
    x = 43,274,348,618.77/98,114.63
  6. Step 6: Final answer
    x = 441,059.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.