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Finding the Third Proportional to 116,370,853.50 and 174,235,611

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Solution

The third proportional to 116,370,853.50 and 174,235,611 is: 260,873,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,370,853.50 : 174,235,611 = 174,235,611 : x
  2. Step 2: Convert to fraction form
    116,370,853.50/174,235,611 = 174,235,611/x
  3. Step 3: Cross multiply
    116,370,853.50x = 174,235,611 × 174,235,611
  4. Step 4: Simplify right side
    116,370,853.50x = 30,358,048,140,543,320
  5. Step 5: Solve for x
    x = 30,358,048,140,543,320/116,370,853.50
  6. Step 6: Final answer
    x = 260,873,296.25

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Why These Related Problems?

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