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Finding the Third Proportional to 58,192,537.50 and 96,983,503.50

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Solution

The third proportional to 58,192,537.50 and 96,983,503.50 is: 161,632,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,192,537.50 : 96,983,503.50 = 96,983,503.50 : x
  2. Step 2: Convert to fraction form
    58,192,537.50/96,983,503.50 = 96,983,503.50/x
  3. Step 3: Cross multiply
    58,192,537.50x = 96,983,503.50 × 96,983,503.50
  4. Step 4: Simplify right side
    58,192,537.50x = 9,405,799,951,134,512
  5. Step 5: Solve for x
    x = 9,405,799,951,134,512/58,192,537.50
  6. Step 6: Final answer
    x = 161,632,407.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.