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Finding the Third Proportional to 86,090,967,618 and 121,182,224,478

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Solution

The third proportional to 86,090,967,618 and 121,182,224,478 is: 170,576,913,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,090,967,618 : 121,182,224,478 = 121,182,224,478 : x
  2. Step 2: Convert to fraction form
    86,090,967,618/121,182,224,478 = 121,182,224,478/x
  3. Step 3: Cross multiply
    86,090,967,618x = 121,182,224,478 × 121,182,224,478
  4. Step 4: Simplify right side
    86,090,967,618x = 14,685,131,529,436,381,839,360
  5. Step 5: Solve for x
    x = 14,685,131,529,436,381,839,360/86,090,967,618
  6. Step 6: Final answer
    x = 170,576,913,417.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.