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Finding the Third Proportional to 254,782,360,083 and 395,598,185,385

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Solution

The third proportional to 254,782,360,083 and 395,598,185,385 is: 614,241,599,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782,360,083 : 395,598,185,385 = 395,598,185,385 : x
  2. Step 2: Convert to fraction form
    254,782,360,083/395,598,185,385 = 395,598,185,385/x
  3. Step 3: Cross multiply
    254,782,360,083x = 395,598,185,385 × 395,598,185,385
  4. Step 4: Simplify right side
    254,782,360,083x = 156,497,924,279,904,812,138,496
  5. Step 5: Solve for x
    x = 156,497,924,279,904,812,138,496/254,782,360,083
  6. Step 6: Final answer
    x = 614,241,599,100.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.