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Finding the Third Proportional to 121,046,780 and 258,922,524

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Solution

The third proportional to 121,046,780 and 258,922,524 is: 553,842,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,046,780 : 258,922,524 = 258,922,524 : x
  2. Step 2: Convert to fraction form
    121,046,780/258,922,524 = 258,922,524/x
  3. Step 3: Cross multiply
    121,046,780x = 258,922,524 × 258,922,524
  4. Step 4: Simplify right side
    121,046,780x = 67,040,873,434,530,576
  5. Step 5: Solve for x
    x = 67,040,873,434,530,576/121,046,780
  6. Step 6: Final answer
    x = 553,842,683.25

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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.