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Finding the Third Proportional to 223,699,612.50 and 486,120,738

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Solution

The third proportional to 223,699,612.50 and 486,120,738 is: 1,056,387,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,699,612.50 : 486,120,738 = 486,120,738 : x
  2. Step 2: Convert to fraction form
    223,699,612.50/486,120,738 = 486,120,738/x
  3. Step 3: Cross multiply
    223,699,612.50x = 486,120,738 × 486,120,738
  4. Step 4: Simplify right side
    223,699,612.50x = 236,313,371,913,664,640
  5. Step 5: Solve for x
    x = 236,313,371,913,664,640/223,699,612.50
  6. Step 6: Final answer
    x = 1,056,387,041.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.