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Finding the Third Proportional to 98,492.63 and 143,433.28

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Solution

The third proportional to 98,492.63 and 143,433.28 is: 208,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492.63 : 143,433.28 = 143,433.28 : x
  2. Step 2: Convert to fraction form
    98,492.63/143,433.28 = 143,433.28/x
  3. Step 3: Cross multiply
    98,492.63x = 143,433.28 × 143,433.28
  4. Step 4: Simplify right side
    98,492.63x = 20,573,106,170.14
  5. Step 5: Solve for x
    x = 20,573,106,170.14/98,492.63
  6. Step 6: Final answer
    x = 208,879.66

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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.