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Finding the Third Proportional to 97,449,420 and 216,686,993.25

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Solution

The third proportional to 97,449,420 and 216,686,993.25 is: 481,821,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449,420 : 216,686,993.25 = 216,686,993.25 : x
  2. Step 2: Convert to fraction form
    97,449,420/216,686,993.25 = 216,686,993.25/x
  3. Step 3: Cross multiply
    97,449,420x = 216,686,993.25 × 216,686,993.25
  4. Step 4: Simplify right side
    97,449,420x = 46,953,253,043,725,544
  5. Step 5: Solve for x
    x = 46,953,253,043,725,544/97,449,420
  6. Step 6: Final answer
    x = 481,821,780.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.