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Finding the Third Proportional to 96,348,944 and 137,348,976

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Solution

The third proportional to 96,348,944 and 137,348,976 is: 195,796,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348,944 : 137,348,976 = 137,348,976 : x
  2. Step 2: Convert to fraction form
    96,348,944/137,348,976 = 137,348,976/x
  3. Step 3: Cross multiply
    96,348,944x = 137,348,976 × 137,348,976
  4. Step 4: Simplify right side
    96,348,944x = 18,864,741,208,248,576
  5. Step 5: Solve for x
    x = 18,864,741,208,248,576/96,348,944
  6. Step 6: Final answer
    x = 195,796,034.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.