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Finding the Third Proportional to 213,706,395 and 338,669,296.50

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Solution

The third proportional to 213,706,395 and 338,669,296.50 is: 536,703,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706,395 : 338,669,296.50 = 338,669,296.50 : x
  2. Step 2: Convert to fraction form
    213,706,395/338,669,296.50 = 338,669,296.50/x
  3. Step 3: Cross multiply
    213,706,395x = 338,669,296.50 × 338,669,296.50
  4. Step 4: Simplify right side
    213,706,395x = 114,696,892,391,804,912
  5. Step 5: Solve for x
    x = 114,696,892,391,804,912/213,706,395
  6. Step 6: Final answer
    x = 536,703,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.