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Finding the Third Proportional to 93,867 and 194,386

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Solution

The third proportional to 93,867 and 194,386 is: 402,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,867 : 194,386 = 194,386 : x
  2. Step 2: Convert to fraction form
    93,867/194,386 = 194,386/x
  3. Step 3: Cross multiply
    93,867x = 194,386 × 194,386
  4. Step 4: Simplify right side
    93,867x = 37,785,916,996
  5. Step 5: Solve for x
    x = 37,785,916,996/93,867
  6. Step 6: Final answer
    x = 402,547.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.