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Finding the Third Proportional to 191,021,571,353.50 and 408,877,134,070

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Solution

The third proportional to 191,021,571,353.50 and 408,877,134,070 is: 875,191,788,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,021,571,353.50 : 408,877,134,070 = 408,877,134,070 : x
  2. Step 2: Convert to fraction form
    191,021,571,353.50/408,877,134,070 = 408,877,134,070/x
  3. Step 3: Cross multiply
    191,021,571,353.50x = 408,877,134,070 × 408,877,134,070
  4. Step 4: Simplify right side
    191,021,571,353.50x = 167,180,510,765,296,765,632,512
  5. Step 5: Solve for x
    x = 167,180,510,765,296,765,632,512/191,021,571,353.50
  6. Step 6: Final answer
    x = 875,191,788,972.97

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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.