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Finding the Third Proportional to 91,173,141,822 and 198,041,226,774

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Solution

The third proportional to 91,173,141,822 and 198,041,226,774 is: 430,174,135,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173,141,822 : 198,041,226,774 = 198,041,226,774 : x
  2. Step 2: Convert to fraction form
    91,173,141,822/198,041,226,774 = 198,041,226,774/x
  3. Step 3: Cross multiply
    91,173,141,822x = 198,041,226,774 × 198,041,226,774
  4. Step 4: Simplify right side
    91,173,141,822x = 39,220,327,502,150,893,568,000
  5. Step 5: Solve for x
    x = 39,220,327,502,150,893,568,000/91,173,141,822
  6. Step 6: Final answer
    x = 430,174,135,917.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.