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Finding the Third Proportional to 213,706,394 and 338,669,295

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Solution

The third proportional to 213,706,394 and 338,669,295 is: 536,703,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706,394 : 338,669,295 = 338,669,295 : x
  2. Step 2: Convert to fraction form
    213,706,394/338,669,295 = 338,669,295/x
  3. Step 3: Cross multiply
    213,706,394x = 338,669,295 × 338,669,295
  4. Step 4: Simplify right side
    213,706,394x = 114,696,891,375,797,024
  5. Step 5: Solve for x
    x = 114,696,891,375,797,024/213,706,394
  6. Step 6: Final answer
    x = 536,703,133.81

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