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Finding the Third Proportional to 154,148,477 and 359,692,206

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Solution

The third proportional to 154,148,477 and 359,692,206 is: 839,310,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,148,477 : 359,692,206 = 359,692,206 : x
  2. Step 2: Convert to fraction form
    154,148,477/359,692,206 = 359,692,206/x
  3. Step 3: Cross multiply
    154,148,477x = 359,692,206 × 359,692,206
  4. Step 4: Simplify right side
    154,148,477x = 129,378,483,057,146,432
  5. Step 5: Solve for x
    x = 129,378,483,057,146,432/154,148,477
  6. Step 6: Final answer
    x = 839,310,809.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.