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Finding the Third Proportional to 75,823,146 and 163,728,369

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Solution

The third proportional to 75,823,146 and 163,728,369 is: 353,546,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,146 : 163,728,369 = 163,728,369 : x
  2. Step 2: Convert to fraction form
    75,823,146/163,728,369 = 163,728,369/x
  3. Step 3: Cross multiply
    75,823,146x = 163,728,369 × 163,728,369
  4. Step 4: Simplify right side
    75,823,146x = 26,806,978,815,400,160
  5. Step 5: Solve for x
    x = 26,806,978,815,400,160/75,823,146
  6. Step 6: Final answer
    x = 353,546,116.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.