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Finding the Third Proportional to 223,589,119.50 and 488,630,632.50

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Solution

The third proportional to 223,589,119.50 and 488,630,632.50 is: 1,067,851,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,589,119.50 : 488,630,632.50 = 488,630,632.50 : x
  2. Step 2: Convert to fraction form
    223,589,119.50/488,630,632.50 = 488,630,632.50/x
  3. Step 3: Cross multiply
    223,589,119.50x = 488,630,632.50 × 488,630,632.50
  4. Step 4: Simplify right side
    223,589,119.50x = 238,759,895,017,350,048
  5. Step 5: Solve for x
    x = 238,759,895,017,350,048/223,589,119.50
  6. Step 6: Final answer
    x = 1,067,851,134.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.