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Finding the Third Proportional to 77,716,739.25 and 167,539,752

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Solution

The third proportional to 77,716,739.25 and 167,539,752 is: 361,177,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716,739.25 : 167,539,752 = 167,539,752 : x
  2. Step 2: Convert to fraction form
    77,716,739.25/167,539,752 = 167,539,752/x
  3. Step 3: Cross multiply
    77,716,739.25x = 167,539,752 × 167,539,752
  4. Step 4: Simplify right side
    77,716,739.25x = 28,069,568,500,221,504
  5. Step 5: Solve for x
    x = 28,069,568,500,221,504/77,716,739.25
  6. Step 6: Final answer
    x = 361,177,897.72

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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.