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Finding the Third Proportional to 96,835.50 and 207,678.94

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Solution

The third proportional to 96,835.50 and 207,678.94 is: 445,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,835.50 : 207,678.94 = 207,678.94 : x
  2. Step 2: Convert to fraction form
    96,835.50/207,678.94 = 207,678.94/x
  3. Step 3: Cross multiply
    96,835.50x = 207,678.94 × 207,678.94
  4. Step 4: Simplify right side
    96,835.50x = 43,130,541,081.13
  5. Step 5: Solve for x
    x = 43,130,541,081.13/96,835.50
  6. Step 6: Final answer
    x = 445,400.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.