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Finding the Third Proportional to 81,932,840 and 175,523,245

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Solution

The third proportional to 81,932,840 and 175,523,245 is: 376,020,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932,840 : 175,523,245 = 175,523,245 : x
  2. Step 2: Convert to fraction form
    81,932,840/175,523,245 = 175,523,245/x
  3. Step 3: Cross multiply
    81,932,840x = 175,523,245 × 175,523,245
  4. Step 4: Simplify right side
    81,932,840x = 30,808,409,535,330,024
  5. Step 5: Solve for x
    x = 30,808,409,535,330,024/81,932,840
  6. Step 6: Final answer
    x = 376,020,281.19

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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.