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Finding the Third Proportional to 86,010,893,738 and 119,591,272,642

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Solution

The third proportional to 86,010,893,738 and 119,591,272,642 is: 166,282,105,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010,893,738 : 119,591,272,642 = 119,591,272,642 : x
  2. Step 2: Convert to fraction form
    86,010,893,738/119,591,272,642 = 119,591,272,642/x
  3. Step 3: Cross multiply
    86,010,893,738x = 119,591,272,642 × 119,591,272,642
  4. Step 4: Simplify right side
    86,010,893,738x = 14,302,072,492,133,177,098,240
  5. Step 5: Solve for x
    x = 14,302,072,492,133,177,098,240/86,010,893,738
  6. Step 6: Final answer
    x = 166,282,105,330.74

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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.