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Finding the Third Proportional to 84,503,970.75 and 178,086,724.50

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Solution

The third proportional to 84,503,970.75 and 178,086,724.50 is: 375,306,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503,970.75 : 178,086,724.50 = 178,086,724.50 : x
  2. Step 2: Convert to fraction form
    84,503,970.75/178,086,724.50 = 178,086,724.50/x
  3. Step 3: Cross multiply
    84,503,970.75x = 178,086,724.50 × 178,086,724.50
  4. Step 4: Simplify right side
    84,503,970.75x = 31,714,881,443,138,900
  5. Step 5: Solve for x
    x = 31,714,881,443,138,900/84,503,970.75
  6. Step 6: Final answer
    x = 375,306,404.68

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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.