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Finding the Third Proportional to 259,717,135,980 and 558,520,807,852.50

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Solution

The third proportional to 259,717,135,980 and 558,520,807,852.50 is: 1,201,097,076,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717,135,980 : 558,520,807,852.50 = 558,520,807,852.50 : x
  2. Step 2: Convert to fraction form
    259,717,135,980/558,520,807,852.50 = 558,520,807,852.50/x
  3. Step 3: Cross multiply
    259,717,135,980x = 558,520,807,852.50 × 558,520,807,852.50
  4. Step 4: Simplify right side
    259,717,135,980x = 311,945,492,804,209,238,605,824
  5. Step 5: Solve for x
    x = 311,945,492,804,209,238,605,824/259,717,135,980
  6. Step 6: Final answer
    x = 1,201,097,076,737.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.