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Finding the Third Proportional to 76,398,315 and 165,716,241

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Solution

The third proportional to 76,398,315 and 165,716,241 is: 359,456,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398,315 : 165,716,241 = 165,716,241 : x
  2. Step 2: Convert to fraction form
    76,398,315/165,716,241 = 165,716,241/x
  3. Step 3: Cross multiply
    76,398,315x = 165,716,241 × 165,716,241
  4. Step 4: Simplify right side
    76,398,315x = 27,461,872,531,170,080
  5. Step 5: Solve for x
    x = 27,461,872,531,170,080/76,398,315
  6. Step 6: Final answer
    x = 359,456,521.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.