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Finding the Third Proportional to 306,817,719.75 and 659,171,695.50

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Solution

The third proportional to 306,817,719.75 and 659,171,695.50 is: 1,416,174,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,817,719.75 : 659,171,695.50 = 659,171,695.50 : x
  2. Step 2: Convert to fraction form
    306,817,719.75/659,171,695.50 = 659,171,695.50/x
  3. Step 3: Cross multiply
    306,817,719.75x = 659,171,695.50 × 659,171,695.50
  4. Step 4: Simplify right side
    306,817,719.75x = 434,507,324,148,344,704
  5. Step 5: Solve for x
    x = 434,507,324,148,344,704/306,817,719.75
  6. Step 6: Final answer
    x = 1,416,174,152.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.