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Finding the Third Proportional to 170,008,648.50 and 360,447,616.50

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Solution

The third proportional to 170,008,648.50 and 360,447,616.50 is: 764,211,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,008,648.50 : 360,447,616.50 = 360,447,616.50 : x
  2. Step 2: Convert to fraction form
    170,008,648.50/360,447,616.50 = 360,447,616.50/x
  3. Step 3: Cross multiply
    170,008,648.50x = 360,447,616.50 × 360,447,616.50
  4. Step 4: Simplify right side
    170,008,648.50x = 129,922,484,240,531,072
  5. Step 5: Solve for x
    x = 129,922,484,240,531,072/170,008,648.50
  6. Step 6: Final answer
    x = 764,211,029.18

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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.