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Finding the Third Proportional to 84,213,668 and 183,256,316

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Solution

The third proportional to 84,213,668 and 183,256,316 is: 398,781,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213,668 : 183,256,316 = 183,256,316 : x
  2. Step 2: Convert to fraction form
    84,213,668/183,256,316 = 183,256,316/x
  3. Step 3: Cross multiply
    84,213,668x = 183,256,316 × 183,256,316
  4. Step 4: Simplify right side
    84,213,668x = 33,582,877,353,891,856
  5. Step 5: Solve for x
    x = 33,582,877,353,891,856/84,213,668
  6. Step 6: Final answer
    x = 398,781,791.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.