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Finding the Third Proportional to 98,913,038 and 212,451,676

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Solution

The third proportional to 98,913,038 and 212,451,676 is: 456,317,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,913,038 : 212,451,676 = 212,451,676 : x
  2. Step 2: Convert to fraction form
    98,913,038/212,451,676 = 212,451,676/x
  3. Step 3: Cross multiply
    98,913,038x = 212,451,676 × 212,451,676
  4. Step 4: Simplify right side
    98,913,038x = 45,135,714,635,208,976
  5. Step 5: Solve for x
    x = 45,135,714,635,208,976/98,913,038
  6. Step 6: Final answer
    x = 456,317,140.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.