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Finding the Third Proportional to 128,030,874 and 280,346,196

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Solution

The third proportional to 128,030,874 and 280,346,196 is: 613,867,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,030,874 : 280,346,196 = 280,346,196 : x
  2. Step 2: Convert to fraction form
    128,030,874/280,346,196 = 280,346,196/x
  3. Step 3: Cross multiply
    128,030,874x = 280,346,196 × 280,346,196
  4. Step 4: Simplify right side
    128,030,874x = 78,593,989,611,670,416
  5. Step 5: Solve for x
    x = 78,593,989,611,670,416/128,030,874
  6. Step 6: Final answer
    x = 613,867,477.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.