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Finding the Third Proportional to 59,191,192,990 and 85,521,052,219

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Solution

The third proportional to 59,191,192,990 and 85,521,052,219 is: 123,563,151,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,191,192,990 : 85,521,052,219 = 85,521,052,219 : x
  2. Step 2: Convert to fraction form
    59,191,192,990/85,521,052,219 = 85,521,052,219/x
  3. Step 3: Cross multiply
    59,191,192,990x = 85,521,052,219 × 85,521,052,219
  4. Step 4: Simplify right side
    59,191,192,990x = 7,313,850,372,644,925,341,696
  5. Step 5: Solve for x
    x = 7,313,850,372,644,925,341,696/59,191,192,990
  6. Step 6: Final answer
    x = 123,563,151,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.