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Finding the Third Proportional to 119,030,890,896 and 256,997,009,860

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Solution

The third proportional to 119,030,890,896 and 256,997,009,860 is: 554,876,659,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,890,896 : 256,997,009,860 = 256,997,009,860 : x
  2. Step 2: Convert to fraction form
    119,030,890,896/256,997,009,860 = 256,997,009,860/x
  3. Step 3: Cross multiply
    119,030,890,896x = 256,997,009,860 × 256,997,009,860
  4. Step 4: Simplify right side
    119,030,890,896x = 66,047,463,076,980,936,671,232
  5. Step 5: Solve for x
    x = 66,047,463,076,980,936,671,232/119,030,890,896
  6. Step 6: Final answer
    x = 554,876,659,158.07

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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.