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Finding the Third Proportional to 93,009,384 and 217,242,840.38

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Solution

The third proportional to 93,009,384 and 217,242,840.38 is: 507,416,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,009,384 : 217,242,840.38 = 217,242,840.38 : x
  2. Step 2: Convert to fraction form
    93,009,384/217,242,840.38 = 217,242,840.38/x
  3. Step 3: Cross multiply
    93,009,384x = 217,242,840.38 × 217,242,840.38
  4. Step 4: Simplify right side
    93,009,384x = 47,194,451,694,197,728
  5. Step 5: Solve for x
    x = 47,194,451,694,197,728/93,009,384
  6. Step 6: Final answer
    x = 507,416,022.60

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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.