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Finding the Third Proportional to 150,700,494 and 325,492,764

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Solution

The third proportional to 150,700,494 and 325,492,764 is: 703,020,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700,494 : 325,492,764 = 325,492,764 : x
  2. Step 2: Convert to fraction form
    150,700,494/325,492,764 = 325,492,764/x
  3. Step 3: Cross multiply
    150,700,494x = 325,492,764 × 325,492,764
  4. Step 4: Simplify right side
    150,700,494x = 105,945,539,416,359,696
  5. Step 5: Solve for x
    x = 105,945,539,416,359,696/150,700,494
  6. Step 6: Final answer
    x = 703,020,518.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.