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Finding the Third Proportional to 170,008,645.50 and 360,447,610.50

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Solution

The third proportional to 170,008,645.50 and 360,447,610.50 is: 764,211,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,008,645.50 : 360,447,610.50 = 360,447,610.50 : x
  2. Step 2: Convert to fraction form
    170,008,645.50/360,447,610.50 = 360,447,610.50/x
  3. Step 3: Cross multiply
    170,008,645.50x = 360,447,610.50 × 360,447,610.50
  4. Step 4: Simplify right side
    170,008,645.50x = 129,922,479,915,159,712
  5. Step 5: Solve for x
    x = 129,922,479,915,159,712/170,008,645.50
  6. Step 6: Final answer
    x = 764,211,017.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.