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Finding the Third Proportional to 98,014.22 and 144,150.47

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Solution

The third proportional to 98,014.22 and 144,150.47 is: 212,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014.22 : 144,150.47 = 144,150.47 : x
  2. Step 2: Convert to fraction form
    98,014.22/144,150.47 = 144,150.47/x
  3. Step 3: Cross multiply
    98,014.22x = 144,150.47 × 144,150.47
  4. Step 4: Simplify right side
    98,014.22x = 20,779,357,640.84
  5. Step 5: Solve for x
    x = 20,779,357,640.84/98,014.22
  6. Step 6: Final answer
    x = 212,003.50

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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.