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Finding the Third Proportional to 116,959,805,885 and 256,341,572,902

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Solution

The third proportional to 116,959,805,885 and 256,341,572,902 is: 561,825,504,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,959,805,885 : 256,341,572,902 = 256,341,572,902 : x
  2. Step 2: Convert to fraction form
    116,959,805,885/256,341,572,902 = 256,341,572,902/x
  3. Step 3: Cross multiply
    116,959,805,885x = 256,341,572,902 × 256,341,572,902
  4. Step 4: Simplify right side
    116,959,805,885x = 65,711,001,997,871,383,838,720
  5. Step 5: Solve for x
    x = 65,711,001,997,871,383,838,720/116,959,805,885
  6. Step 6: Final answer
    x = 561,825,504,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.