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Finding the Third Proportional to 93,009,168 and 217,242,243

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Solution

The third proportional to 93,009,168 and 217,242,243 is: 507,414,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,009,168 : 217,242,243 = 217,242,243 : x
  2. Step 2: Convert to fraction form
    93,009,168/217,242,243 = 217,242,243/x
  3. Step 3: Cross multiply
    93,009,168x = 217,242,243 × 217,242,243
  4. Step 4: Simplify right side
    93,009,168x = 47,194,192,143,671,048
  5. Step 5: Solve for x
    x = 47,194,192,143,671,048/93,009,168
  6. Step 6: Final answer
    x = 507,414,410.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.