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Finding the Third Proportional to 115,124,462 and 234,873,465

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Solution

The third proportional to 115,124,462 and 234,873,465 is: 479,181,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,124,462 : 234,873,465 = 234,873,465 : x
  2. Step 2: Convert to fraction form
    115,124,462/234,873,465 = 234,873,465/x
  3. Step 3: Cross multiply
    115,124,462x = 234,873,465 × 234,873,465
  4. Step 4: Simplify right side
    115,124,462x = 55,165,544,561,106,224
  5. Step 5: Solve for x
    x = 55,165,544,561,106,224/115,124,462
  6. Step 6: Final answer
    x = 479,181,779.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.