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Finding the Third Proportional to 118,145,878,553.25 and 254,210,761,224

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Solution

The third proportional to 118,145,878,553.25 and 254,210,761,224 is: 546,977,278,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,145,878,553.25 : 254,210,761,224 = 254,210,761,224 : x
  2. Step 2: Convert to fraction form
    118,145,878,553.25/254,210,761,224 = 254,210,761,224/x
  3. Step 3: Cross multiply
    118,145,878,553.25x = 254,210,761,224 × 254,210,761,224
  4. Step 4: Simplify right side
    118,145,878,553.25x = 64,623,111,122,085,545,508,864
  5. Step 5: Solve for x
    x = 64,623,111,122,085,545,508,864/118,145,878,553.25
  6. Step 6: Final answer
    x = 546,977,278,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.