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Finding the Third Proportional to 86,713,828 and 124,638,196

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Solution

The third proportional to 86,713,828 and 124,638,196 is: 179,148,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713,828 : 124,638,196 = 124,638,196 : x
  2. Step 2: Convert to fraction form
    86,713,828/124,638,196 = 124,638,196/x
  3. Step 3: Cross multiply
    86,713,828x = 124,638,196 × 124,638,196
  4. Step 4: Simplify right side
    86,713,828x = 15,534,679,902,134,416
  5. Step 5: Solve for x
    x = 15,534,679,902,134,416/86,713,828
  6. Step 6: Final answer
    x = 179,148,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.