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Finding the Third Proportional to 69,684.19 and 149,206.50

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Solution

The third proportional to 69,684.19 and 149,206.50 is: 319,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684.19 : 149,206.50 = 149,206.50 : x
  2. Step 2: Convert to fraction form
    69,684.19/149,206.50 = 149,206.50/x
  3. Step 3: Cross multiply
    69,684.19x = 149,206.50 × 149,206.50
  4. Step 4: Simplify right side
    69,684.19x = 22,262,579,642.25
  5. Step 5: Solve for x
    x = 22,262,579,642.25/69,684.19
  6. Step 6: Final answer
    x = 319,478.21

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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.