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Finding the Third Proportional to 97,673,600 and 203,385,280

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Solution

The third proportional to 97,673,600 and 203,385,280 is: 423,508,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,673,600 : 203,385,280 = 203,385,280 : x
  2. Step 2: Convert to fraction form
    97,673,600/203,385,280 = 203,385,280/x
  3. Step 3: Cross multiply
    97,673,600x = 203,385,280 × 203,385,280
  4. Step 4: Simplify right side
    97,673,600x = 41,365,572,120,678,400
  5. Step 5: Solve for x
    x = 41,365,572,120,678,400/97,673,600
  6. Step 6: Final answer
    x = 423,508,216.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.