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Finding the Third Proportional to 233,693,146.50 and 506,166,107.25

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Solution

The third proportional to 233,693,146.50 and 506,166,107.25 is: 1,096,327,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,693,146.50 : 506,166,107.25 = 506,166,107.25 : x
  2. Step 2: Convert to fraction form
    233,693,146.50/506,166,107.25 = 506,166,107.25/x
  3. Step 3: Cross multiply
    233,693,146.50x = 506,166,107.25 × 506,166,107.25
  4. Step 4: Simplify right side
    233,693,146.50x = 256,204,128,128,618,496
  5. Step 5: Solve for x
    x = 256,204,128,128,618,496/233,693,146.50
  6. Step 6: Final answer
    x = 1,096,327,093.74

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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.