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Finding the Third Proportional to 233,693,149 and 506,166,112

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Solution

The third proportional to 233,693,149 and 506,166,112 is: 1,096,327,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,693,149 : 506,166,112 = 506,166,112 : x
  2. Step 2: Convert to fraction form
    233,693,149/506,166,112 = 506,166,112/x
  3. Step 3: Cross multiply
    233,693,149x = 506,166,112 × 506,166,112
  4. Step 4: Simplify right side
    233,693,149x = 256,204,132,937,196,544
  5. Step 5: Solve for x
    x = 256,204,132,937,196,544/233,693,149
  6. Step 6: Final answer
    x = 1,096,327,102.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.