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Finding the Third Proportional to 233,150,289.75 and 502,619,406.75

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Solution

The third proportional to 233,150,289.75 and 502,619,406.75 is: 1,083,534,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,289.75 : 502,619,406.75 = 502,619,406.75 : x
  2. Step 2: Convert to fraction form
    233,150,289.75/502,619,406.75 = 502,619,406.75/x
  3. Step 3: Cross multiply
    233,150,289.75x = 502,619,406.75 × 502,619,406.75
  4. Step 4: Simplify right side
    233,150,289.75x = 252,626,268,041,721,952
  5. Step 5: Solve for x
    x = 252,626,268,041,721,952/233,150,289.75
  6. Step 6: Final answer
    x = 1,083,534,008.53

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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.