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Finding the Third Proportional to 364,154,077.50 and 532,405,993.50

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Solution

The third proportional to 364,154,077.50 and 532,405,993.50 is: 778,396,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,154,077.50 : 532,405,993.50 = 532,405,993.50 : x
  2. Step 2: Convert to fraction form
    364,154,077.50/532,405,993.50 = 532,405,993.50/x
  3. Step 3: Cross multiply
    364,154,077.50x = 532,405,993.50 × 532,405,993.50
  4. Step 4: Simplify right side
    364,154,077.50x = 283,456,141,914,722,048
  5. Step 5: Solve for x
    x = 283,456,141,914,722,048/364,154,077.50
  6. Step 6: Final answer
    x = 778,396,177.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.