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Finding the Third Proportional to 96,333,456 and 137,324,986

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Solution

The third proportional to 96,333,456 and 137,324,986 is: 195,759,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,333,456 : 137,324,986 = 137,324,986 : x
  2. Step 2: Convert to fraction form
    96,333,456/137,324,986 = 137,324,986/x
  3. Step 3: Cross multiply
    96,333,456x = 137,324,986 × 137,324,986
  4. Step 4: Simplify right side
    96,333,456x = 18,858,151,779,900,196
  5. Step 5: Solve for x
    x = 18,858,151,779,900,196/96,333,456
  6. Step 6: Final answer
    x = 195,759,111.77

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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.