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Finding the Third Proportional to 77,716,734.19 and 167,539,743.56

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Solution

The third proportional to 77,716,734.19 and 167,539,743.56 is: 361,177,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716,734.19 : 167,539,743.56 = 167,539,743.56 : x
  2. Step 2: Convert to fraction form
    77,716,734.19/167,539,743.56 = 167,539,743.56/x
  3. Step 3: Cross multiply
    77,716,734.19x = 167,539,743.56 × 167,539,743.56
  4. Step 4: Simplify right side
    77,716,734.19x = 28,069,565,672,988,260
  5. Step 5: Solve for x
    x = 28,069,565,672,988,260/77,716,734.19
  6. Step 6: Final answer
    x = 361,177,884.87

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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.