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Finding the Third Proportional to 83,845,922 and 183,236,492

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Solution

The third proportional to 83,845,922 and 183,236,492 is: 400,444,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,845,922 : 183,236,492 = 183,236,492 : x
  2. Step 2: Convert to fraction form
    83,845,922/183,236,492 = 183,236,492/x
  3. Step 3: Cross multiply
    83,845,922x = 183,236,492 × 183,236,492
  4. Step 4: Simplify right side
    83,845,922x = 33,575,612,000,466,064
  5. Step 5: Solve for x
    x = 33,575,612,000,466,064/83,845,922
  6. Step 6: Final answer
    x = 400,444,186.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.