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Finding the Third Proportional to 119,030,890,890 and 256,997,009,850

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Solution

The third proportional to 119,030,890,890 and 256,997,009,850 is: 554,876,659,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,890 : 256,997,009,850 = 256,997,009,850 : x
  2. Step 2: Convert to fraction form
    119,030,890,890/256,997,009,850 = 256,997,009,850/x
  3. Step 3: Cross multiply
    119,030,890,890x = 256,997,009,850 × 256,997,009,850
  4. Step 4: Simplify right side
    119,030,890,890x = 66,047,463,071,840,993,280,000
  5. Step 5: Solve for x
    x = 66,047,463,071,840,993,280,000/119,030,890,890
  6. Step 6: Final answer
    x = 554,876,659,142.86

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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.