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Finding the Third Proportional to 248,726,026 and 532,392,144

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Solution

The third proportional to 248,726,026 and 532,392,144 is: 1,139,572,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,726,026 : 532,392,144 = 532,392,144 : x
  2. Step 2: Convert to fraction form
    248,726,026/532,392,144 = 532,392,144/x
  3. Step 3: Cross multiply
    248,726,026x = 532,392,144 × 532,392,144
  4. Step 4: Simplify right side
    248,726,026x = 283,441,394,992,916,736
  5. Step 5: Solve for x
    x = 283,441,394,992,916,736/248,726,026
  6. Step 6: Final answer
    x = 1,139,572,724.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.