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Finding the Third Proportional to 84,213,657 and 183,256,296

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Solution

The third proportional to 84,213,657 and 183,256,296 is: 398,781,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213,657 : 183,256,296 = 183,256,296 : x
  2. Step 2: Convert to fraction form
    84,213,657/183,256,296 = 183,256,296/x
  3. Step 3: Cross multiply
    84,213,657x = 183,256,296 × 183,256,296
  4. Step 4: Simplify right side
    84,213,657x = 33,582,870,023,639,616
  5. Step 5: Solve for x
    x = 33,582,870,023,639,616/84,213,657
  6. Step 6: Final answer
    x = 398,781,756.07

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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.