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Finding the Third Proportional to 83,447,536 and 169,253,335

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Solution

The third proportional to 83,447,536 and 169,253,335 is: 343,289,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447,536 : 169,253,335 = 169,253,335 : x
  2. Step 2: Convert to fraction form
    83,447,536/169,253,335 = 169,253,335/x
  3. Step 3: Cross multiply
    83,447,536x = 169,253,335 × 169,253,335
  4. Step 4: Simplify right side
    83,447,536x = 28,646,691,408,622,224
  5. Step 5: Solve for x
    x = 28,646,691,408,622,224/83,447,536
  6. Step 6: Final answer
    x = 343,289,841.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.