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Finding the Third Proportional to 100,698.19 and 141,160.22

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Solution

The third proportional to 100,698.19 and 141,160.22 is: 197,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.19 : 141,160.22 = 141,160.22 : x
  2. Step 2: Convert to fraction form
    100,698.19/141,160.22 = 141,160.22/x
  3. Step 3: Cross multiply
    100,698.19x = 141,160.22 × 141,160.22
  4. Step 4: Simplify right side
    100,698.19x = 19,926,207,357.55
  5. Step 5: Solve for x
    x = 19,926,207,357.55/100,698.19
  6. Step 6: Final answer
    x = 197,880.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.