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Finding the Third Proportional to 81,932,844 and 175,523,253

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Solution

The third proportional to 81,932,844 and 175,523,253 is: 376,020,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932,844 : 175,523,253 = 175,523,253 : x
  2. Step 2: Convert to fraction form
    81,932,844/175,523,253 = 175,523,253/x
  3. Step 3: Cross multiply
    81,932,844x = 175,523,253 × 175,523,253
  4. Step 4: Simplify right side
    81,932,844x = 30,808,412,343,702,008
  5. Step 5: Solve for x
    x = 30,808,412,343,702,008/81,932,844
  6. Step 6: Final answer
    x = 376,020,297.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.