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Finding the Third Proportional to 114,600,960 and 177,710,976

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Solution

The third proportional to 114,600,960 and 177,710,976 is: 275,575,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,600,960 : 177,710,976 = 177,710,976 : x
  2. Step 2: Convert to fraction form
    114,600,960/177,710,976 = 177,710,976/x
  3. Step 3: Cross multiply
    114,600,960x = 177,710,976 × 177,710,976
  4. Step 4: Simplify right side
    114,600,960x = 31,581,190,990,872,576
  5. Step 5: Solve for x
    x = 31,581,190,990,872,576/114,600,960
  6. Step 6: Final answer
    x = 275,575,274.33

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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.