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Finding the Third Proportional to 38,991,200 and 84,484,196

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Solution

The third proportional to 38,991,200 and 84,484,196 is: 183,056,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991,200 : 84,484,196 = 84,484,196 : x
  2. Step 2: Convert to fraction form
    38,991,200/84,484,196 = 84,484,196/x
  3. Step 3: Cross multiply
    38,991,200x = 84,484,196 × 84,484,196
  4. Step 4: Simplify right side
    38,991,200x = 7,137,579,373,766,416
  5. Step 5: Solve for x
    x = 7,137,579,373,766,416/38,991,200
  6. Step 6: Final answer
    x = 183,056,160.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.