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Finding the Third Proportional to 200,360,958 and 306,500,055

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Solution

The third proportional to 200,360,958 and 306,500,055 is: 468,865,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360,958 : 306,500,055 = 306,500,055 : x
  2. Step 2: Convert to fraction form
    200,360,958/306,500,055 = 306,500,055/x
  3. Step 3: Cross multiply
    200,360,958x = 306,500,055 × 306,500,055
  4. Step 4: Simplify right side
    200,360,958x = 93,942,283,715,003,024
  5. Step 5: Solve for x
    x = 93,942,283,715,003,024/200,360,958
  6. Step 6: Final answer
    x = 468,865,215.32

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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.