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Finding the Third Proportional to 197,417,234 and 315,254,811

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Solution

The third proportional to 197,417,234 and 315,254,811 is: 503,429,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,417,234 : 315,254,811 = 315,254,811 : x
  2. Step 2: Convert to fraction form
    197,417,234/315,254,811 = 315,254,811/x
  3. Step 3: Cross multiply
    197,417,234x = 315,254,811 × 315,254,811
  4. Step 4: Simplify right side
    197,417,234x = 99,385,595,858,645,728
  5. Step 5: Solve for x
    x = 99,385,595,858,645,728/197,417,234
  6. Step 6: Final answer
    x = 503,429,178.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.