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Finding the Third Proportional to 127,725,284 and 279,631,120

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Solution

The third proportional to 127,725,284 and 279,631,120 is: 612,201,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,725,284 : 279,631,120 = 279,631,120 : x
  2. Step 2: Convert to fraction form
    127,725,284/279,631,120 = 279,631,120/x
  3. Step 3: Cross multiply
    127,725,284x = 279,631,120 × 279,631,120
  4. Step 4: Simplify right side
    127,725,284x = 78,193,563,272,454,400
  5. Step 5: Solve for x
    x = 78,193,563,272,454,400/127,725,284
  6. Step 6: Final answer
    x = 612,201,130.61

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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.