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Finding the Third Proportional to 109,419,536 and 236,996,688

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Solution

The third proportional to 109,419,536 and 236,996,688 is: 513,321,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419,536 : 236,996,688 = 236,996,688 : x
  2. Step 2: Convert to fraction form
    109,419,536/236,996,688 = 236,996,688/x
  3. Step 3: Cross multiply
    109,419,536x = 236,996,688 × 236,996,688
  4. Step 4: Simplify right side
    109,419,536x = 56,167,430,122,969,344
  5. Step 5: Solve for x
    x = 56,167,430,122,969,344/109,419,536
  6. Step 6: Final answer
    x = 513,321,772.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.