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Finding the Third Proportional to 107,733,447 and 167,157,884.25

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Solution

The third proportional to 107,733,447 and 167,157,884.25 is: 259,360,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,733,447 : 167,157,884.25 = 167,157,884.25 : x
  2. Step 2: Convert to fraction form
    107,733,447/167,157,884.25 = 167,157,884.25/x
  3. Step 3: Cross multiply
    107,733,447x = 167,157,884.25 × 167,157,884.25
  4. Step 4: Simplify right side
    107,733,447x = 27,941,758,266,936,400
  5. Step 5: Solve for x
    x = 27,941,758,266,936,400/107,733,447
  6. Step 6: Final answer
    x = 259,360,106.31

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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.