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Finding the Third Proportional to 86,316,754 and 184,914,638

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Solution

The third proportional to 86,316,754 and 184,914,638 is: 396,138,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,316,754 : 184,914,638 = 184,914,638 : x
  2. Step 2: Convert to fraction form
    86,316,754/184,914,638 = 184,914,638/x
  3. Step 3: Cross multiply
    86,316,754x = 184,914,638 × 184,914,638
  4. Step 4: Simplify right side
    86,316,754x = 34,193,423,346,671,044
  5. Step 5: Solve for x
    x = 34,193,423,346,671,044/86,316,754
  6. Step 6: Final answer
    x = 396,138,892.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.