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Finding the Third Proportional to 103,491,352 and 210,023,832

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Solution

The third proportional to 103,491,352 and 210,023,832 is: 426,219,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491,352 : 210,023,832 = 210,023,832 : x
  2. Step 2: Convert to fraction form
    103,491,352/210,023,832 = 210,023,832/x
  3. Step 3: Cross multiply
    103,491,352x = 210,023,832 × 210,023,832
  4. Step 4: Simplify right side
    103,491,352x = 44,110,010,007,964,224
  5. Step 5: Solve for x
    x = 44,110,010,007,964,224/103,491,352
  6. Step 6: Final answer
    x = 426,219,284.56

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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.