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Finding the Third Proportional to 93,416 and 218,516

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Solution

The third proportional to 93,416 and 218,516 is: 511,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,416 : 218,516 = 218,516 : x
  2. Step 2: Convert to fraction form
    93,416/218,516 = 218,516/x
  3. Step 3: Cross multiply
    93,416x = 218,516 × 218,516
  4. Step 4: Simplify right side
    93,416x = 47,749,242,256
  5. Step 5: Solve for x
    x = 47,749,242,256/93,416
  6. Step 6: Final answer
    x = 511,146.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.