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Finding the Third Proportional to 211,397,882 and 323,414,943

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Solution

The third proportional to 211,397,882 and 323,414,943 is: 494,788,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,882 : 323,414,943 = 323,414,943 : x
  2. Step 2: Convert to fraction form
    211,397,882/323,414,943 = 323,414,943/x
  3. Step 3: Cross multiply
    211,397,882x = 323,414,943 × 323,414,943
  4. Step 4: Simplify right side
    211,397,882x = 104,597,225,355,693,248
  5. Step 5: Solve for x
    x = 104,597,225,355,693,248/211,397,882
  6. Step 6: Final answer
    x = 494,788,426.29

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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.