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Finding the Third Proportional to 97,103.81 and 207,700.03

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Solution

The third proportional to 97,103.81 and 207,700.03 is: 444,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,103.81 : 207,700.03 = 207,700.03 : x
  2. Step 2: Convert to fraction form
    97,103.81/207,700.03 = 207,700.03/x
  3. Step 3: Cross multiply
    97,103.81x = 207,700.03 × 207,700.03
  4. Step 4: Simplify right side
    97,103.81x = 43,139,302,981.25
  5. Step 5: Solve for x
    x = 43,139,302,981.25/97,103.81
  6. Step 6: Final answer
    x = 444,259.62

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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.