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Finding the Third Proportional to 200,401,239 and 310,298,584.50

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Solution

The third proportional to 200,401,239 and 310,298,584.50 is: 480,462,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,401,239 : 310,298,584.50 = 310,298,584.50 : x
  2. Step 2: Convert to fraction form
    200,401,239/310,298,584.50 = 310,298,584.50/x
  3. Step 3: Cross multiply
    200,401,239x = 310,298,584.50 × 310,298,584.50
  4. Step 4: Simplify right side
    200,401,239x = 96,285,211,542,703,648
  5. Step 5: Solve for x
    x = 96,285,211,542,703,648/200,401,239
  6. Step 6: Final answer
    x = 480,462,156.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.