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Finding the Third Proportional to 98,384.63 and 143,704.13

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Solution

The third proportional to 98,384.63 and 143,704.13 is: 209,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.63 : 143,704.13 = 143,704.13 : x
  2. Step 2: Convert to fraction form
    98,384.63/143,704.13 = 143,704.13/x
  3. Step 3: Cross multiply
    98,384.63x = 143,704.13 × 143,704.13
  4. Step 4: Simplify right side
    98,384.63x = 20,650,875,542.02
  5. Step 5: Solve for x
    x = 20,650,875,542.02/98,384.63
  6. Step 6: Final answer
    x = 209,899.42

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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.