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Finding the Third Proportional to 98,433,968 and 215,394,016

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Solution

The third proportional to 98,433,968 and 215,394,016 is: 471,326,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433,968 : 215,394,016 = 215,394,016 : x
  2. Step 2: Convert to fraction form
    98,433,968/215,394,016 = 215,394,016/x
  3. Step 3: Cross multiply
    98,433,968x = 215,394,016 × 215,394,016
  4. Step 4: Simplify right side
    98,433,968x = 46,394,582,128,608,256
  5. Step 5: Solve for x
    x = 46,394,582,128,608,256/98,433,968
  6. Step 6: Final answer
    x = 471,326,952.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.