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Finding the Third Proportional to 127,416,708.75 and 196,758,024

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Solution

The third proportional to 127,416,708.75 and 196,758,024 is: 303,835,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416,708.75 : 196,758,024 = 196,758,024 : x
  2. Step 2: Convert to fraction form
    127,416,708.75/196,758,024 = 196,758,024/x
  3. Step 3: Cross multiply
    127,416,708.75x = 196,758,024 × 196,758,024
  4. Step 4: Simplify right side
    127,416,708.75x = 38,713,720,008,384,576
  5. Step 5: Solve for x
    x = 38,713,720,008,384,576/127,416,708.75
  6. Step 6: Final answer
    x = 303,835,504.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.