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Finding the Third Proportional to 107,366,298 and 164,172,051

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Solution

The third proportional to 107,366,298 and 164,172,051 is: 251,032,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,366,298 : 164,172,051 = 164,172,051 : x
  2. Step 2: Convert to fraction form
    107,366,298/164,172,051 = 164,172,051/x
  3. Step 3: Cross multiply
    107,366,298x = 164,172,051 × 164,172,051
  4. Step 4: Simplify right side
    107,366,298x = 26,952,462,329,546,600
  5. Step 5: Solve for x
    x = 26,952,462,329,546,600/107,366,298
  6. Step 6: Final answer
    x = 251,032,799.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.