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Finding the Third Proportional to 40,382,275 and 88,165,357

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Solution

The third proportional to 40,382,275 and 88,165,357 is: 192,488,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382,275 : 88,165,357 = 88,165,357 : x
  2. Step 2: Convert to fraction form
    40,382,275/88,165,357 = 88,165,357/x
  3. Step 3: Cross multiply
    40,382,275x = 88,165,357 × 88,165,357
  4. Step 4: Simplify right side
    40,382,275x = 7,773,130,174,937,449
  5. Step 5: Solve for x
    x = 7,773,130,174,937,449/40,382,275
  6. Step 6: Final answer
    x = 192,488,664.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.