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Finding the Third Proportional to 42,088,099 and 98,336,845

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Solution

The third proportional to 42,088,099 and 98,336,845 is: 229,759,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088,099 : 98,336,845 = 98,336,845 : x
  2. Step 2: Convert to fraction form
    42,088,099/98,336,845 = 98,336,845/x
  3. Step 3: Cross multiply
    42,088,099x = 98,336,845 × 98,336,845
  4. Step 4: Simplify right side
    42,088,099x = 9,670,135,084,554,024
  5. Step 5: Solve for x
    x = 9,670,135,084,554,024/42,088,099
  6. Step 6: Final answer
    x = 229,759,369.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.