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Finding the Third Proportional to 119,030,890,891 and 256,997,009,852

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Solution

The third proportional to 119,030,890,891 and 256,997,009,852 is: 554,876,659,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,891 : 256,997,009,852 = 256,997,009,852 : x
  2. Step 2: Convert to fraction form
    119,030,890,891/256,997,009,852 = 256,997,009,852/x
  3. Step 3: Cross multiply
    119,030,890,891x = 256,997,009,852 × 256,997,009,852
  4. Step 4: Simplify right side
    119,030,890,891x = 66,047,463,072,868,983,635,968
  5. Step 5: Solve for x
    x = 66,047,463,072,868,983,635,968/119,030,890,891
  6. Step 6: Final answer
    x = 554,876,659,146.83

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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.