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Finding the Third Proportional to 59,192,994,072 and 138,121,759,156

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Solution

The third proportional to 59,192,994,072 and 138,121,759,156 is: 322,295,242,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192,994,072 : 138,121,759,156 = 138,121,759,156 : x
  2. Step 2: Convert to fraction form
    59,192,994,072/138,121,759,156 = 138,121,759,156/x
  3. Step 3: Cross multiply
    59,192,994,072x = 138,121,759,156 × 138,121,759,156
  4. Step 4: Simplify right side
    59,192,994,072x = 19,077,620,352,348,070,084,608
  5. Step 5: Solve for x
    x = 19,077,620,352,348,070,084,608/59,192,994,072
  6. Step 6: Final answer
    x = 322,295,242,054.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.