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Finding the Third Proportional to 106,796,160 and 165,441,216

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Solution

The third proportional to 106,796,160 and 165,441,216 is: 256,290,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,796,160 : 165,441,216 = 165,441,216 : x
  2. Step 2: Convert to fraction form
    106,796,160/165,441,216 = 165,441,216/x
  3. Step 3: Cross multiply
    106,796,160x = 165,441,216 × 165,441,216
  4. Step 4: Simplify right side
    106,796,160x = 27,370,795,951,558,656
  5. Step 5: Solve for x
    x = 27,370,795,951,558,656/106,796,160
  6. Step 6: Final answer
    x = 256,290,075.89

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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.