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Finding the Third Proportional to 93,521 and 201,805

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Solution

The third proportional to 93,521 and 201,805 is: 435,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,521 : 201,805 = 201,805 : x
  2. Step 2: Convert to fraction form
    93,521/201,805 = 201,805/x
  3. Step 3: Cross multiply
    93,521x = 201,805 × 201,805
  4. Step 4: Simplify right side
    93,521x = 40,725,258,025
  5. Step 5: Solve for x
    x = 40,725,258,025/93,521
  6. Step 6: Final answer
    x = 435,466.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.