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Finding the Third Proportional to 98,433,969 and 215,394,018

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Solution

The third proportional to 98,433,969 and 215,394,018 is: 471,326,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433,969 : 215,394,018 = 215,394,018 : x
  2. Step 2: Convert to fraction form
    98,433,969/215,394,018 = 215,394,018/x
  3. Step 3: Cross multiply
    98,433,969x = 215,394,018 × 215,394,018
  4. Step 4: Simplify right side
    98,433,969x = 46,394,582,990,184,320
  5. Step 5: Solve for x
    x = 46,394,582,990,184,320/98,433,969
  6. Step 6: Final answer
    x = 471,326,956.15

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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.