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Finding the Third Proportional to 119,030,890,889 and 256,997,009,848

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Solution

The third proportional to 119,030,890,889 and 256,997,009,848 is: 554,876,659,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,889 : 256,997,009,848 = 256,997,009,848 : x
  2. Step 2: Convert to fraction form
    119,030,890,889/256,997,009,848 = 256,997,009,848/x
  3. Step 3: Cross multiply
    119,030,890,889x = 256,997,009,848 × 256,997,009,848
  4. Step 4: Simplify right side
    119,030,890,889x = 66,047,463,070,813,011,312,640
  5. Step 5: Solve for x
    x = 66,047,463,070,813,011,312,640/119,030,890,889
  6. Step 6: Final answer
    x = 554,876,659,138.88

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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.