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Finding the Third Proportional to 133,236,231.75 and 297,107,686.13

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Solution

The third proportional to 133,236,231.75 and 297,107,686.13 is: 662,529,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,236,231.75 : 297,107,686.13 = 297,107,686.13 : x
  2. Step 2: Convert to fraction form
    133,236,231.75/297,107,686.13 = 297,107,686.13/x
  3. Step 3: Cross multiply
    133,236,231.75x = 297,107,686.13 × 297,107,686.13
  4. Step 4: Simplify right side
    133,236,231.75x = 88,272,977,154,551,520
  5. Step 5: Solve for x
    x = 88,272,977,154,551,520/133,236,231.75
  6. Step 6: Final answer
    x = 662,529,823.87

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.