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Finding the Third Proportional to 86,977,373 and 121,664,314

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Solution

The third proportional to 86,977,373 and 121,664,314 is: 170,184,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,977,373 : 121,664,314 = 121,664,314 : x
  2. Step 2: Convert to fraction form
    86,977,373/121,664,314 = 121,664,314/x
  3. Step 3: Cross multiply
    86,977,373x = 121,664,314 × 121,664,314
  4. Step 4: Simplify right side
    86,977,373x = 14,802,205,301,090,596
  5. Step 5: Solve for x
    x = 14,802,205,301,090,596/86,977,373
  6. Step 6: Final answer
    x = 170,184,552.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.