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Finding the Third Proportional to 200,360,955.75 and 306,500,052

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Solution

The third proportional to 200,360,955.75 and 306,500,052 is: 468,865,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360,955.75 : 306,500,052 = 306,500,052 : x
  2. Step 2: Convert to fraction form
    200,360,955.75/306,500,052 = 306,500,052/x
  3. Step 3: Cross multiply
    200,360,955.75x = 306,500,052 × 306,500,052
  4. Step 4: Simplify right side
    200,360,955.75x = 93,942,281,876,002,704
  5. Step 5: Solve for x
    x = 93,942,281,876,002,704/200,360,955.75
  6. Step 6: Final answer
    x = 468,865,211.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.