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Finding the Third Proportional to 93,563,740,564 and 204,272,825,769

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Solution

The third proportional to 93,563,740,564 and 204,272,825,769 is: 445,978,186,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,563,740,564 : 204,272,825,769 = 204,272,825,769 : x
  2. Step 2: Convert to fraction form
    93,563,740,564/204,272,825,769 = 204,272,825,769/x
  3. Step 3: Cross multiply
    93,563,740,564x = 204,272,825,769 × 204,272,825,769
  4. Step 4: Simplify right side
    93,563,740,564x = 41,727,387,347,652,232,347,648
  5. Step 5: Solve for x
    x = 41,727,387,347,652,232,347,648/93,563,740,564
  6. Step 6: Final answer
    x = 445,978,186,593.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.