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Finding the Third Proportional to 81,643,153,236 and 113,518,278,679.50

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Solution

The third proportional to 81,643,153,236 and 113,518,278,679.50 is: 157,838,092,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643,153,236 : 113,518,278,679.50 = 113,518,278,679.50 : x
  2. Step 2: Convert to fraction form
    81,643,153,236/113,518,278,679.50 = 113,518,278,679.50/x
  3. Step 3: Cross multiply
    81,643,153,236x = 113,518,278,679.50 × 113,518,278,679.50
  4. Step 4: Simplify right side
    81,643,153,236x = 12,886,399,594,356,623,278,080
  5. Step 5: Solve for x
    x = 12,886,399,594,356,623,278,080/81,643,153,236
  6. Step 6: Final answer
    x = 157,838,092,768.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.