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Finding the Third Proportional to 96,130.69 and 207,053.44

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Solution

The third proportional to 96,130.69 and 207,053.44 is: 445,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130.69 : 207,053.44 = 207,053.44 : x
  2. Step 2: Convert to fraction form
    96,130.69/207,053.44 = 207,053.44/x
  3. Step 3: Cross multiply
    96,130.69x = 207,053.44 × 207,053.44
  4. Step 4: Simplify right side
    96,130.69x = 42,871,125,980.57
  5. Step 5: Solve for x
    x = 42,871,125,980.57/96,130.69
  6. Step 6: Final answer
    x = 445,967.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.