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Finding the Third Proportional to 77,169,114 and 165,528,036

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Solution

The third proportional to 77,169,114 and 165,528,036 is: 355,058,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169,114 : 165,528,036 = 165,528,036 : x
  2. Step 2: Convert to fraction form
    77,169,114/165,528,036 = 165,528,036/x
  3. Step 3: Cross multiply
    77,169,114x = 165,528,036 × 165,528,036
  4. Step 4: Simplify right side
    77,169,114x = 27,399,530,702,017,296
  5. Step 5: Solve for x
    x = 27,399,530,702,017,296/77,169,114
  6. Step 6: Final answer
    x = 355,058,251.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.