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Finding the Third Proportional to 84,213,666 and 183,256,312

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Solution

The third proportional to 84,213,666 and 183,256,312 is: 398,781,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213,666 : 183,256,312 = 183,256,312 : x
  2. Step 2: Convert to fraction form
    84,213,666/183,256,312 = 183,256,312/x
  3. Step 3: Cross multiply
    84,213,666x = 183,256,312 × 183,256,312
  4. Step 4: Simplify right side
    84,213,666x = 33,582,875,887,841,344
  5. Step 5: Solve for x
    x = 33,582,875,887,841,344/84,213,666
  6. Step 6: Final answer
    x = 398,781,783.09

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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.