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Finding the Third Proportional to 233,647,569.75 and 498,567,659.25

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Solution

The third proportional to 233,647,569.75 and 498,567,659.25 is: 1,063,866,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,569.75 : 498,567,659.25 = 498,567,659.25 : x
  2. Step 2: Convert to fraction form
    233,647,569.75/498,567,659.25 = 498,567,659.25/x
  3. Step 3: Cross multiply
    233,647,569.75x = 498,567,659.25 × 498,567,659.25
  4. Step 4: Simplify right side
    233,647,569.75x = 248,569,710,850,024,096
  5. Step 5: Solve for x
    x = 248,569,710,850,024,096/233,647,569.75
  6. Step 6: Final answer
    x = 1,063,866,023.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.