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Finding the Third Proportional to 223,808,986 and 481,630,206.50

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Solution

The third proportional to 223,808,986 and 481,630,206.50 is: 1,036,453,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,808,986 : 481,630,206.50 = 481,630,206.50 : x
  2. Step 2: Convert to fraction form
    223,808,986/481,630,206.50 = 481,630,206.50/x
  3. Step 3: Cross multiply
    223,808,986x = 481,630,206.50 × 481,630,206.50
  4. Step 4: Simplify right side
    223,808,986x = 231,967,655,813,232,640
  5. Step 5: Solve for x
    x = 231,967,655,813,232,640/223,808,986
  6. Step 6: Final answer
    x = 1,036,453,718.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.