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Finding the Third Proportional to 102,778,149 and 168,721,662

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Solution

The third proportional to 102,778,149 and 168,721,662 is: 276,975,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778,149 : 168,721,662 = 168,721,662 : x
  2. Step 2: Convert to fraction form
    102,778,149/168,721,662 = 168,721,662/x
  3. Step 3: Cross multiply
    102,778,149x = 168,721,662 × 168,721,662
  4. Step 4: Simplify right side
    102,778,149x = 28,466,999,228,042,244
  5. Step 5: Solve for x
    x = 28,466,999,228,042,244/102,778,149
  6. Step 6: Final answer
    x = 276,975,208.30

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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.