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Finding the Third Proportional to 104,594,863.50 and 228,022,688.25

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Solution

The third proportional to 104,594,863.50 and 228,022,688.25 is: 497,102,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,594,863.50 : 228,022,688.25 = 228,022,688.25 : x
  2. Step 2: Convert to fraction form
    104,594,863.50/228,022,688.25 = 228,022,688.25/x
  3. Step 3: Cross multiply
    104,594,863.50x = 228,022,688.25 × 228,022,688.25
  4. Step 4: Simplify right side
    104,594,863.50x = 51,994,346,356,756,688
  5. Step 5: Solve for x
    x = 51,994,346,356,756,688/104,594,863.50
  6. Step 6: Final answer
    x = 497,102,291.80

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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.