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Finding the Third Proportional to 172,355,118.75 and 257,922,009

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Solution

The third proportional to 172,355,118.75 and 257,922,009 is: 385,969,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,355,118.75 : 257,922,009 = 257,922,009 : x
  2. Step 2: Convert to fraction form
    172,355,118.75/257,922,009 = 257,922,009/x
  3. Step 3: Cross multiply
    172,355,118.75x = 257,922,009 × 257,922,009
  4. Step 4: Simplify right side
    172,355,118.75x = 66,523,762,726,596,080
  5. Step 5: Solve for x
    x = 66,523,762,726,596,080/172,355,118.75
  6. Step 6: Final answer
    x = 385,969,173.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.