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Finding the Third Proportional to 116,959,805,869.50 and 256,341,572,874

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Solution

The third proportional to 116,959,805,869.50 and 256,341,572,874 is: 561,825,504,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,959,805,869.50 : 256,341,572,874 = 256,341,572,874 : x
  2. Step 2: Convert to fraction form
    116,959,805,869.50/256,341,572,874 = 256,341,572,874/x
  3. Step 3: Cross multiply
    116,959,805,869.50x = 256,341,572,874 × 256,341,572,874
  4. Step 4: Simplify right side
    116,959,805,869.50x = 65,711,001,983,516,252,569,600
  5. Step 5: Solve for x
    x = 65,711,001,983,516,252,569,600/116,959,805,869.50
  6. Step 6: Final answer
    x = 561,825,504,881.86

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