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Finding the Third Proportional to 179,971,868 and 268,778,462

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Solution

The third proportional to 179,971,868 and 268,778,462 is: 401,406,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,868 : 268,778,462 = 268,778,462 : x
  2. Step 2: Convert to fraction form
    179,971,868/268,778,462 = 268,778,462/x
  3. Step 3: Cross multiply
    179,971,868x = 268,778,462 × 268,778,462
  4. Step 4: Simplify right side
    179,971,868x = 72,241,861,635,085,440
  5. Step 5: Solve for x
    x = 72,241,861,635,085,440/179,971,868
  6. Step 6: Final answer
    x = 401,406,411.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.