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Finding the Third Proportional to 97,061.06 and 207,615.94

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Solution

The third proportional to 97,061.06 and 207,615.94 is: 444,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,061.06 : 207,615.94 = 207,615.94 : x
  2. Step 2: Convert to fraction form
    97,061.06/207,615.94 = 207,615.94/x
  3. Step 3: Cross multiply
    97,061.06x = 207,615.94 × 207,615.94
  4. Step 4: Simplify right side
    97,061.06x = 43,104,377,504.00
  5. Step 5: Solve for x
    x = 43,104,377,504.00/97,061.06
  6. Step 6: Final answer
    x = 444,095.46

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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.