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Finding the Third Proportional to 119,030,890,878 and 256,997,009,826

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Solution

The third proportional to 119,030,890,878 and 256,997,009,826 is: 554,876,659,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,878 : 256,997,009,826 = 256,997,009,826 : x
  2. Step 2: Convert to fraction form
    119,030,890,878/256,997,009,826 = 256,997,009,826/x
  3. Step 3: Cross multiply
    119,030,890,878x = 256,997,009,826 × 256,997,009,826
  4. Step 4: Simplify right side
    119,030,890,878x = 66,047,463,059,505,142,562,816
  5. Step 5: Solve for x
    x = 66,047,463,059,505,142,562,816/119,030,890,878
  6. Step 6: Final answer
    x = 554,876,659,095.16

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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.