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Finding the Third Proportional to 44,681,085 and 96,419,373

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Solution

The third proportional to 44,681,085 and 96,419,373 is: 208,067,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,681,085 : 96,419,373 = 96,419,373 : x
  2. Step 2: Convert to fraction form
    44,681,085/96,419,373 = 96,419,373/x
  3. Step 3: Cross multiply
    44,681,085x = 96,419,373 × 96,419,373
  4. Step 4: Simplify right side
    44,681,085x = 9,296,695,489,713,128
  5. Step 5: Solve for x
    x = 9,296,695,489,713,128/44,681,085
  6. Step 6: Final answer
    x = 208,067,809.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.