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Finding the Third Proportional to 213,706,392 and 338,669,292

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Solution

The third proportional to 213,706,392 and 338,669,292 is: 536,703,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706,392 : 338,669,292 = 338,669,292 : x
  2. Step 2: Convert to fraction form
    213,706,392/338,669,292 = 338,669,292/x
  3. Step 3: Cross multiply
    213,706,392x = 338,669,292 × 338,669,292
  4. Step 4: Simplify right side
    213,706,392x = 114,696,889,343,781,264
  5. Step 5: Solve for x
    x = 114,696,889,343,781,264/213,706,392
  6. Step 6: Final answer
    x = 536,703,129.33

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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.