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Finding the Third Proportional to 116,959,804,200 and 256,341,569,204.25

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Solution

The third proportional to 116,959,804,200 and 256,341,569,204.25 is: 561,825,496,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,959,804,200 : 256,341,569,204.25 = 256,341,569,204.25 : x
  2. Step 2: Convert to fraction form
    116,959,804,200/256,341,569,204.25 = 256,341,569,204.25/x
  3. Step 3: Cross multiply
    116,959,804,200x = 256,341,569,204.25 × 256,341,569,204.25
  4. Step 4: Simplify right side
    116,959,804,200x = 65,711,000,102,097,288,953,856
  5. Step 5: Solve for x
    x = 65,711,000,102,097,288,953,856/116,959,804,200
  6. Step 6: Final answer
    x = 561,825,496,815.40

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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.