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Finding the Third Proportional to 296,336,859 and 658,929,958.50

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Solution

The third proportional to 296,336,859 and 658,929,958.50 is: 1,465,186,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,336,859 : 658,929,958.50 = 658,929,958.50 : x
  2. Step 2: Convert to fraction form
    296,336,859/658,929,958.50 = 658,929,958.50/x
  3. Step 3: Cross multiply
    296,336,859x = 658,929,958.50 × 658,929,958.50
  4. Step 4: Simplify right side
    296,336,859x = 434,188,690,208,811,712
  5. Step 5: Solve for x
    x = 434,188,690,208,811,712/296,336,859
  6. Step 6: Final answer
    x = 1,465,186,246.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.