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Finding the Third Proportional to 96,600.09 and 142,106.91

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Solution

The third proportional to 96,600.09 and 142,106.91 is: 209,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,600.09 : 142,106.91 = 142,106.91 : x
  2. Step 2: Convert to fraction form
    96,600.09/142,106.91 = 142,106.91/x
  3. Step 3: Cross multiply
    96,600.09x = 142,106.91 × 142,106.91
  4. Step 4: Simplify right side
    96,600.09x = 20,194,372,803.95
  5. Step 5: Solve for x
    x = 20,194,372,803.95/96,600.09
  6. Step 6: Final answer
    x = 209,051.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.