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Finding the Third Proportional to 166,769,901 and 258,539,796

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Solution

The third proportional to 166,769,901 and 258,539,796 is: 400,808,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,769,901 : 258,539,796 = 258,539,796 : x
  2. Step 2: Convert to fraction form
    166,769,901/258,539,796 = 258,539,796/x
  3. Step 3: Cross multiply
    166,769,901x = 258,539,796 × 258,539,796
  4. Step 4: Simplify right side
    166,769,901x = 66,842,826,115,721,616
  5. Step 5: Solve for x
    x = 66,842,826,115,721,616/166,769,901
  6. Step 6: Final answer
    x = 400,808,693.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.