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Finding the Third Proportional to 92,120,000,169 and 141,532,198,933.50

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Solution

The third proportional to 92,120,000,169 and 141,532,198,933.50 is: 217,448,581,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,120,000,169 : 141,532,198,933.50 = 141,532,198,933.50 : x
  2. Step 2: Convert to fraction form
    92,120,000,169/141,532,198,933.50 = 141,532,198,933.50/x
  3. Step 3: Cross multiply
    92,120,000,169x = 141,532,198,933.50 × 141,532,198,933.50
  4. Step 4: Simplify right side
    92,120,000,169x = 20,031,363,334,951,818,756,096
  5. Step 5: Solve for x
    x = 20,031,363,334,951,818,756,096/92,120,000,169
  6. Step 6: Final answer
    x = 217,448,581,178.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.