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Finding the Third Proportional to 94,959 and 202,630.22

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Solution

The third proportional to 94,959 and 202,630.22 is: 432,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,959 : 202,630.22 = 202,630.22 : x
  2. Step 2: Convert to fraction form
    94,959/202,630.22 = 202,630.22/x
  3. Step 3: Cross multiply
    94,959x = 202,630.22 × 202,630.22
  4. Step 4: Simplify right side
    94,959x = 41,059,005,550.67
  5. Step 5: Solve for x
    x = 41,059,005,550.67/94,959
  6. Step 6: Final answer
    x = 432,386.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.