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Finding the Third Proportional to 238,662,140 and 368,212,242

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Solution

The third proportional to 238,662,140 and 368,212,242 is: 568,084,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,662,140 : 368,212,242 = 368,212,242 : x
  2. Step 2: Convert to fraction form
    238,662,140/368,212,242 = 368,212,242/x
  3. Step 3: Cross multiply
    238,662,140x = 368,212,242 × 368,212,242
  4. Step 4: Simplify right side
    238,662,140x = 135,580,255,158,666,560
  5. Step 5: Solve for x
    x = 135,580,255,158,666,560/238,662,140
  6. Step 6: Final answer
    x = 568,084,469.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.