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Finding the Third Proportional to 119,030,890,900 and 256,997,009,868

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Solution

The third proportional to 119,030,890,900 and 256,997,009,868 is: 554,876,659,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,900 : 256,997,009,868 = 256,997,009,868 : x
  2. Step 2: Convert to fraction form
    119,030,890,900/256,997,009,868 = 256,997,009,868/x
  3. Step 3: Cross multiply
    119,030,890,900x = 256,997,009,868 × 256,997,009,868
  4. Step 4: Simplify right side
    119,030,890,900x = 66,047,463,081,092,889,706,496
  5. Step 5: Solve for x
    x = 66,047,463,081,092,889,706,496/119,030,890,900
  6. Step 6: Final answer
    x = 554,876,659,173.97

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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.