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Finding the Third Proportional to 54,710,584 and 117,240,241

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Solution

The third proportional to 54,710,584 and 117,240,241 is: 251,236,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,710,584 : 117,240,241 = 117,240,241 : x
  2. Step 2: Convert to fraction form
    54,710,584/117,240,241 = 117,240,241/x
  3. Step 3: Cross multiply
    54,710,584x = 117,240,241 × 117,240,241
  4. Step 4: Simplify right side
    54,710,584x = 13,745,274,109,738,080
  5. Step 5: Solve for x
    x = 13,745,274,109,738,080/54,710,584
  6. Step 6: Final answer
    x = 251,236,106.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.