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Finding the Third Proportional to 107,811,996 and 176,028,630

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Solution

The third proportional to 107,811,996 and 176,028,630 is: 287,408,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,811,996 : 176,028,630 = 176,028,630 : x
  2. Step 2: Convert to fraction form
    107,811,996/176,028,630 = 176,028,630/x
  3. Step 3: Cross multiply
    107,811,996x = 176,028,630 × 176,028,630
  4. Step 4: Simplify right side
    107,811,996x = 30,986,078,579,676,900
  5. Step 5: Solve for x
    x = 30,986,078,579,676,900/107,811,996
  6. Step 6: Final answer
    x = 287,408,449.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.