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Finding the Third Proportional to 54,589,014 and 116,736,300

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Solution

The third proportional to 54,589,014 and 116,736,300 is: 249,635,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589,014 : 116,736,300 = 116,736,300 : x
  2. Step 2: Convert to fraction form
    54,589,014/116,736,300 = 116,736,300/x
  3. Step 3: Cross multiply
    54,589,014x = 116,736,300 × 116,736,300
  4. Step 4: Simplify right side
    54,589,014x = 13,627,363,737,690,000
  5. Step 5: Solve for x
    x = 13,627,363,737,690,000/54,589,014
  6. Step 6: Final answer
    x = 249,635,645.33

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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.