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Finding the Third Proportional to 93,847,274 and 196,275,040

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Solution

The third proportional to 93,847,274 and 196,275,040 is: 410,495,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,847,274 : 196,275,040 = 196,275,040 : x
  2. Step 2: Convert to fraction form
    93,847,274/196,275,040 = 196,275,040/x
  3. Step 3: Cross multiply
    93,847,274x = 196,275,040 × 196,275,040
  4. Step 4: Simplify right side
    93,847,274x = 38,523,891,327,001,600
  5. Step 5: Solve for x
    x = 38,523,891,327,001,600/93,847,274
  6. Step 6: Final answer
    x = 410,495,581.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.