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Finding the Third Proportional to 197,972,118 and 299,506,231

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Solution

The third proportional to 197,972,118 and 299,506,231 is: 453,114,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,972,118 : 299,506,231 = 299,506,231 : x
  2. Step 2: Convert to fraction form
    197,972,118/299,506,231 = 299,506,231/x
  3. Step 3: Cross multiply
    197,972,118x = 299,506,231 × 299,506,231
  4. Step 4: Simplify right side
    197,972,118x = 89,703,982,407,825,360
  5. Step 5: Solve for x
    x = 89,703,982,407,825,360/197,972,118
  6. Step 6: Final answer
    x = 453,114,222.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.