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Finding the Third Proportional to 127,088,635.50 and 196,384,350

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Solution

The third proportional to 127,088,635.50 and 196,384,350 is: 303,463,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,088,635.50 : 196,384,350 = 196,384,350 : x
  2. Step 2: Convert to fraction form
    127,088,635.50/196,384,350 = 196,384,350/x
  3. Step 3: Cross multiply
    127,088,635.50x = 196,384,350 × 196,384,350
  4. Step 4: Simplify right side
    127,088,635.50x = 38,566,812,924,922,496
  5. Step 5: Solve for x
    x = 38,566,812,924,922,496/127,088,635.50
  6. Step 6: Final answer
    x = 303,463,899.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.