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Finding the Third Proportional to 91,173,141,816 and 198,041,226,762

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Solution

The third proportional to 91,173,141,816 and 198,041,226,762 is: 430,174,135,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173,141,816 : 198,041,226,762 = 198,041,226,762 : x
  2. Step 2: Convert to fraction form
    91,173,141,816/198,041,226,762 = 198,041,226,762/x
  3. Step 3: Cross multiply
    91,173,141,816x = 198,041,226,762 × 198,041,226,762
  4. Step 4: Simplify right side
    91,173,141,816x = 39,220,327,497,397,908,275,200
  5. Step 5: Solve for x
    x = 39,220,327,497,397,908,275,200/91,173,141,816
  6. Step 6: Final answer
    x = 430,174,135,893.55

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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.