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Finding the Third Proportional to 102,778,154 and 168,721,668

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Solution

The third proportional to 102,778,154 and 168,721,668 is: 276,975,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778,154 : 168,721,668 = 168,721,668 : x
  2. Step 2: Convert to fraction form
    102,778,154/168,721,668 = 168,721,668/x
  3. Step 3: Cross multiply
    102,778,154x = 168,721,668 × 168,721,668
  4. Step 4: Simplify right side
    102,778,154x = 28,467,001,252,702,224
  5. Step 5: Solve for x
    x = 28,467,001,252,702,224/102,778,154
  6. Step 6: Final answer
    x = 276,975,214.53

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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.