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Finding the Third Proportional to 104,594,864 and 228,022,688

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Solution

The third proportional to 104,594,864 and 228,022,688 is: 497,102,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,594,864 : 228,022,688 = 228,022,688 : x
  2. Step 2: Convert to fraction form
    104,594,864/228,022,688 = 228,022,688/x
  3. Step 3: Cross multiply
    104,594,864x = 228,022,688 × 228,022,688
  4. Step 4: Simplify right side
    104,594,864x = 51,994,346,242,745,344
  5. Step 5: Solve for x
    x = 51,994,346,242,745,344/104,594,864
  6. Step 6: Final answer
    x = 497,102,288.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.