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Finding the Third Proportional to 110,057,412 and 165,363,462

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Solution

The third proportional to 110,057,412 and 165,363,462 is: 248,461,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,057,412 : 165,363,462 = 165,363,462 : x
  2. Step 2: Convert to fraction form
    110,057,412/165,363,462 = 165,363,462/x
  3. Step 3: Cross multiply
    110,057,412x = 165,363,462 × 165,363,462
  4. Step 4: Simplify right side
    110,057,412x = 27,345,074,564,625,444
  5. Step 5: Solve for x
    x = 27,345,074,564,625,444/110,057,412
  6. Step 6: Final answer
    x = 248,461,907.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.