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Finding the Third Proportional to 197,972,120 and 299,506,234

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Solution

The third proportional to 197,972,120 and 299,506,234 is: 453,114,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,972,120 : 299,506,234 = 299,506,234 : x
  2. Step 2: Convert to fraction form
    197,972,120/299,506,234 = 299,506,234/x
  3. Step 3: Cross multiply
    197,972,120x = 299,506,234 × 299,506,234
  4. Step 4: Simplify right side
    197,972,120x = 89,703,984,204,862,752
  5. Step 5: Solve for x
    x = 89,703,984,204,862,752/197,972,120
  6. Step 6: Final answer
    x = 453,114,227.42

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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.