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Finding the Third Proportional to 197,140,152 and 420,666,492

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Solution

The third proportional to 197,140,152 and 420,666,492 is: 897,637,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,140,152 : 420,666,492 = 420,666,492 : x
  2. Step 2: Convert to fraction form
    197,140,152/420,666,492 = 420,666,492/x
  3. Step 3: Cross multiply
    197,140,152x = 420,666,492 × 420,666,492
  4. Step 4: Simplify right side
    197,140,152x = 176,960,297,491,586,048
  5. Step 5: Solve for x
    x = 176,960,297,491,586,048/197,140,152
  6. Step 6: Final answer
    x = 897,637,014.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.