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Finding the Third Proportional to 181,552,943,796 and 397,306,482,513

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Solution

The third proportional to 181,552,943,796 and 397,306,482,513 is: 869,456,797,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,552,943,796 : 397,306,482,513 = 397,306,482,513 : x
  2. Step 2: Convert to fraction form
    181,552,943,796/397,306,482,513 = 397,306,482,513/x
  3. Step 3: Cross multiply
    181,552,943,796x = 397,306,482,513 × 397,306,482,513
  4. Step 4: Simplify right side
    181,552,943,796x = 157,852,441,046,852,776,755,200
  5. Step 5: Solve for x
    x = 157,852,441,046,852,776,755,200/181,552,943,796
  6. Step 6: Final answer
    x = 869,456,797,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.