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Finding the Third Proportional to 119,030,890,898 and 256,997,009,864

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Solution

The third proportional to 119,030,890,898 and 256,997,009,864 is: 554,876,659,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,898 : 256,997,009,864 = 256,997,009,864 : x
  2. Step 2: Convert to fraction form
    119,030,890,898/256,997,009,864 = 256,997,009,864/x
  3. Step 3: Cross multiply
    119,030,890,898x = 256,997,009,864 × 256,997,009,864
  4. Step 4: Simplify right side
    119,030,890,898x = 66,047,463,079,036,917,383,168
  5. Step 5: Solve for x
    x = 66,047,463,079,036,917,383,168/119,030,890,898
  6. Step 6: Final answer
    x = 554,876,659,166.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.