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Finding the Third Proportional to 86,703,921 and 142,337,534

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Solution

The third proportional to 86,703,921 and 142,337,534 is: 233,668,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,703,921 : 142,337,534 = 142,337,534 : x
  2. Step 2: Convert to fraction form
    86,703,921/142,337,534 = 142,337,534/x
  3. Step 3: Cross multiply
    86,703,921x = 142,337,534 × 142,337,534
  4. Step 4: Simplify right side
    86,703,921x = 20,259,973,585,201,156
  5. Step 5: Solve for x
    x = 20,259,973,585,201,156/86,703,921
  6. Step 6: Final answer
    x = 233,668,481.79

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.