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Finding the Third Proportional to 231,699,072.38 and 343,539,432.56

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Solution

The third proportional to 231,699,072.38 and 343,539,432.56 is: 509,364,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,699,072.38 : 343,539,432.56 = 343,539,432.56 : x
  2. Step 2: Convert to fraction form
    231,699,072.38/343,539,432.56 = 343,539,432.56/x
  3. Step 3: Cross multiply
    231,699,072.38x = 343,539,432.56 × 343,539,432.56
  4. Step 4: Simplify right side
    231,699,072.38x = 118,019,341,725,364,480
  5. Step 5: Solve for x
    x = 118,019,341,725,364,480/231,699,072.38
  6. Step 6: Final answer
    x = 509,364,757.12

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.