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Finding the Third Proportional to 109,609,914 and 228,287,796

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Solution

The third proportional to 109,609,914 and 228,287,796 is: 475,461,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609,914 : 228,287,796 = 228,287,796 : x
  2. Step 2: Convert to fraction form
    109,609,914/228,287,796 = 228,287,796/x
  3. Step 3: Cross multiply
    109,609,914x = 228,287,796 × 228,287,796
  4. Step 4: Simplify right side
    109,609,914x = 52,115,317,802,537,616
  5. Step 5: Solve for x
    x = 52,115,317,802,537,616/109,609,914
  6. Step 6: Final answer
    x = 475,461,716.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.