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Finding the Third Proportional to 44,878,864 and 96,843,608

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Solution

The third proportional to 44,878,864 and 96,843,608 is: 208,977,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,878,864 : 96,843,608 = 96,843,608 : x
  2. Step 2: Convert to fraction form
    44,878,864/96,843,608 = 96,843,608/x
  3. Step 3: Cross multiply
    44,878,864x = 96,843,608 × 96,843,608
  4. Step 4: Simplify right side
    44,878,864x = 9,378,684,410,457,664
  5. Step 5: Solve for x
    x = 9,378,684,410,457,664/44,878,864
  6. Step 6: Final answer
    x = 208,977,758.67

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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.