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Finding the Third Proportional to 105,919,772 and 228,560,216

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Solution

The third proportional to 105,919,772 and 228,560,216 is: 493,201,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919,772 : 228,560,216 = 228,560,216 : x
  2. Step 2: Convert to fraction form
    105,919,772/228,560,216 = 228,560,216/x
  3. Step 3: Cross multiply
    105,919,772x = 228,560,216 × 228,560,216
  4. Step 4: Simplify right side
    105,919,772x = 52,239,772,337,966,656
  5. Step 5: Solve for x
    x = 52,239,772,337,966,656/105,919,772
  6. Step 6: Final answer
    x = 493,201,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.