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Finding the Third Proportional to 126,633,964 and 189,205,496

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Solution

The third proportional to 126,633,964 and 189,205,496 is: 282,694,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,633,964 : 189,205,496 = 189,205,496 : x
  2. Step 2: Convert to fraction form
    126,633,964/189,205,496 = 189,205,496/x
  3. Step 3: Cross multiply
    126,633,964x = 189,205,496 × 189,205,496
  4. Step 4: Simplify right side
    126,633,964x = 35,798,719,716,606,016
  5. Step 5: Solve for x
    x = 35,798,719,716,606,016/126,633,964
  6. Step 6: Final answer
    x = 282,694,457.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.