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Finding the Third Proportional to 119,030,890,892 and 256,997,009,854

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Solution

The third proportional to 119,030,890,892 and 256,997,009,854 is: 554,876,659,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,892 : 256,997,009,854 = 256,997,009,854 : x
  2. Step 2: Convert to fraction form
    119,030,890,892/256,997,009,854 = 256,997,009,854/x
  3. Step 3: Cross multiply
    119,030,890,892x = 256,997,009,854 × 256,997,009,854
  4. Step 4: Simplify right side
    119,030,890,892x = 66,047,463,073,896,973,991,936
  5. Step 5: Solve for x
    x = 66,047,463,073,896,973,991,936/119,030,890,892
  6. Step 6: Final answer
    x = 554,876,659,150.81

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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.