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Finding the Third Proportional to 103,491,354 and 210,023,836

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Solution

The third proportional to 103,491,354 and 210,023,836 is: 426,219,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491,354 : 210,023,836 = 210,023,836 : x
  2. Step 2: Convert to fraction form
    103,491,354/210,023,836 = 210,023,836/x
  3. Step 3: Cross multiply
    103,491,354x = 210,023,836 × 210,023,836
  4. Step 4: Simplify right side
    103,491,354x = 44,110,011,688,154,896
  5. Step 5: Solve for x
    x = 44,110,011,688,154,896/103,491,354
  6. Step 6: Final answer
    x = 426,219,292.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.