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Finding the Third Proportional to 93,158 and 202,069

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Solution

The third proportional to 93,158 and 202,069 is: 438,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,158 : 202,069 = 202,069 : x
  2. Step 2: Convert to fraction form
    93,158/202,069 = 202,069/x
  3. Step 3: Cross multiply
    93,158x = 202,069 × 202,069
  4. Step 4: Simplify right side
    93,158x = 40,831,880,761
  5. Step 5: Solve for x
    x = 40,831,880,761/93,158
  6. Step 6: Final answer
    x = 438,307.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.