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Finding the Third Proportional to 49,588,851.75 and 115,798,095

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Solution

The third proportional to 49,588,851.75 and 115,798,095 is: 270,407,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588,851.75 : 115,798,095 = 115,798,095 : x
  2. Step 2: Convert to fraction form
    49,588,851.75/115,798,095 = 115,798,095/x
  3. Step 3: Cross multiply
    49,588,851.75x = 115,798,095 × 115,798,095
  4. Step 4: Simplify right side
    49,588,851.75x = 13,409,198,805,629,024
  5. Step 5: Solve for x
    x = 13,409,198,805,629,024/49,588,851.75
  6. Step 6: Final answer
    x = 270,407,527.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.