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Finding the Third Proportional to 59,191,192,988 and 85,521,052,216

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Solution

The third proportional to 59,191,192,988 and 85,521,052,216 is: 123,563,151,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,191,192,988 : 85,521,052,216 = 85,521,052,216 : x
  2. Step 2: Convert to fraction form
    59,191,192,988/85,521,052,216 = 85,521,052,216/x
  3. Step 3: Cross multiply
    59,191,192,988x = 85,521,052,216 × 85,521,052,216
  4. Step 4: Simplify right side
    59,191,192,988x = 7,313,850,372,131,798,384,640
  5. Step 5: Solve for x
    x = 7,313,850,372,131,798,384,640/59,191,192,988
  6. Step 6: Final answer
    x = 123,563,151,930.64

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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.