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Finding the Third Proportional to 233,263,986.75 and 503,885,234.25

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Solution

The third proportional to 233,263,986.75 and 503,885,234.25 is: 1,088,467,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,263,986.75 : 503,885,234.25 = 503,885,234.25 : x
  2. Step 2: Convert to fraction form
    233,263,986.75/503,885,234.25 = 503,885,234.25/x
  3. Step 3: Cross multiply
    233,263,986.75x = 503,885,234.25 × 503,885,234.25
  4. Step 4: Simplify right side
    233,263,986.75x = 253,900,329,295,177,376
  5. Step 5: Solve for x
    x = 253,900,329,295,177,376/233,263,986.75
  6. Step 6: Final answer
    x = 1,088,467,760.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.