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Finding the Third Proportional to 98,187.19 and 143,445.94

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Solution

The third proportional to 98,187.19 and 143,445.94 is: 209,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187.19 : 143,445.94 = 143,445.94 : x
  2. Step 2: Convert to fraction form
    98,187.19/143,445.94 = 143,445.94/x
  3. Step 3: Cross multiply
    98,187.19x = 143,445.94 × 143,445.94
  4. Step 4: Simplify right side
    98,187.19x = 20,576,736,985.25
  5. Step 5: Solve for x
    x = 20,576,736,985.25/98,187.19
  6. Step 6: Final answer
    x = 209,566.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.