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Finding the Third Proportional to 89,017,836 and 189,793,712

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Solution

The third proportional to 89,017,836 and 189,793,712 is: 404,656,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,836 : 189,793,712 = 189,793,712 : x
  2. Step 2: Convert to fraction form
    89,017,836/189,793,712 = 189,793,712/x
  3. Step 3: Cross multiply
    89,017,836x = 189,793,712 × 189,793,712
  4. Step 4: Simplify right side
    89,017,836x = 36,021,653,114,738,944
  5. Step 5: Solve for x
    x = 36,021,653,114,738,944/89,017,836
  6. Step 6: Final answer
    x = 404,656,580.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.