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Finding the Third Proportional to 116,959,805,883 and 256,341,572,898

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Solution

The third proportional to 116,959,805,883 and 256,341,572,898 is: 561,825,504,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,959,805,883 : 256,341,572,898 = 256,341,572,898 : x
  2. Step 2: Convert to fraction form
    116,959,805,883/256,341,572,898 = 256,341,572,898/x
  3. Step 3: Cross multiply
    116,959,805,883x = 256,341,572,898 × 256,341,572,898
  4. Step 4: Simplify right side
    116,959,805,883x = 65,711,001,995,820,646,006,784
  5. Step 5: Solve for x
    x = 65,711,001,995,820,646,006,784/116,959,805,883
  6. Step 6: Final answer
    x = 561,825,504,922.21

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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.