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Finding the Third Proportional to 84,503,976 and 178,086,733.50

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Solution

The third proportional to 84,503,976 and 178,086,733.50 is: 375,306,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503,976 : 178,086,733.50 = 178,086,733.50 : x
  2. Step 2: Convert to fraction form
    84,503,976/178,086,733.50 = 178,086,733.50/x
  3. Step 3: Cross multiply
    84,503,976x = 178,086,733.50 × 178,086,733.50
  4. Step 4: Simplify right side
    84,503,976x = 31,714,884,648,700,024
  5. Step 5: Solve for x
    x = 31,714,884,648,700,024/84,503,976
  6. Step 6: Final answer
    x = 375,306,419.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.