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Finding the Third Proportional to 119,030,890,843 and 256,997,009,792

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Solution

The third proportional to 119,030,890,843 and 256,997,009,792 is: 554,876,659,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,843 : 256,997,009,792 = 256,997,009,792 : x
  2. Step 2: Convert to fraction form
    119,030,890,843/256,997,009,792 = 256,997,009,792/x
  3. Step 3: Cross multiply
    119,030,890,843x = 256,997,009,792 × 256,997,009,792
  4. Step 4: Simplify right side
    119,030,890,843x = 66,047,463,042,029,340,065,792
  5. Step 5: Solve for x
    x = 66,047,463,042,029,340,065,792/119,030,890,843
  6. Step 6: Final answer
    x = 554,876,659,111.50

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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.