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Finding the Third Proportional to 191,021,571,396 and 408,877,134,156

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Solution

The third proportional to 191,021,571,396 and 408,877,134,156 is: 875,191,789,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,021,571,396 : 408,877,134,156 = 408,877,134,156 : x
  2. Step 2: Convert to fraction form
    191,021,571,396/408,877,134,156 = 408,877,134,156/x
  3. Step 3: Cross multiply
    191,021,571,396x = 408,877,134,156 × 408,877,134,156
  4. Step 4: Simplify right side
    191,021,571,396x = 167,180,510,835,623,633,879,040
  5. Step 5: Solve for x
    x = 167,180,510,835,623,633,879,040/191,021,571,396
  6. Step 6: Final answer
    x = 875,191,789,146.41

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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.