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Finding the Third Proportional to 119,030,890,845 and 256,997,009,796

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Solution

The third proportional to 119,030,890,845 and 256,997,009,796 is: 554,876,659,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,845 : 256,997,009,796 = 256,997,009,796 : x
  2. Step 2: Convert to fraction form
    119,030,890,845/256,997,009,796 = 256,997,009,796/x
  3. Step 3: Cross multiply
    119,030,890,845x = 256,997,009,796 × 256,997,009,796
  4. Step 4: Simplify right side
    119,030,890,845x = 66,047,463,044,085,320,777,728
  5. Step 5: Solve for x
    x = 66,047,463,044,085,320,777,728/119,030,890,845
  6. Step 6: Final answer
    x = 554,876,659,119.45

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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.