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Finding the Third Proportional to 93,026 and 201,807

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Solution

The third proportional to 93,026 and 201,807 is: 437,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,026 : 201,807 = 201,807 : x
  2. Step 2: Convert to fraction form
    93,026/201,807 = 201,807/x
  3. Step 3: Cross multiply
    93,026x = 201,807 × 201,807
  4. Step 4: Simplify right side
    93,026x = 40,726,065,249
  5. Step 5: Solve for x
    x = 40,726,065,249/93,026
  6. Step 6: Final answer
    x = 437,792.29

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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.