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Finding the Third Proportional to 140,883,240 and 306,777,416

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Solution

The third proportional to 140,883,240 and 306,777,416 is: 668,016,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883,240 : 306,777,416 = 306,777,416 : x
  2. Step 2: Convert to fraction form
    140,883,240/306,777,416 = 306,777,416/x
  3. Step 3: Cross multiply
    140,883,240x = 306,777,416 × 306,777,416
  4. Step 4: Simplify right side
    140,883,240x = 94,112,382,967,637,056
  5. Step 5: Solve for x
    x = 94,112,382,967,637,056/140,883,240
  6. Step 6: Final answer
    x = 668,016,883.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.