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Finding the Third Proportional to 248,235,257,409 and 354,976,840,828.50

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Solution

The third proportional to 248,235,257,409 and 354,976,840,828.50 is: 507,617,486,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,235,257,409 : 354,976,840,828.50 = 354,976,840,828.50 : x
  2. Step 2: Convert to fraction form
    248,235,257,409/354,976,840,828.50 = 354,976,840,828.50/x
  3. Step 3: Cross multiply
    248,235,257,409x = 354,976,840,828.50 × 354,976,840,828.50
  4. Step 4: Simplify right side
    248,235,257,409x = 126,008,557,524,582,225,936,384
  5. Step 5: Solve for x
    x = 126,008,557,524,582,225,936,384/248,235,257,409
  6. Step 6: Final answer
    x = 507,617,486,894.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.