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Finding the Third Proportional to 125,725,864 and 189,056,684

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Solution

The third proportional to 125,725,864 and 189,056,684 is: 284,288,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725,864 : 189,056,684 = 189,056,684 : x
  2. Step 2: Convert to fraction form
    125,725,864/189,056,684 = 189,056,684/x
  3. Step 3: Cross multiply
    125,725,864x = 189,056,684 × 189,056,684
  4. Step 4: Simplify right side
    125,725,864x = 35,742,429,765,075,856
  5. Step 5: Solve for x
    x = 35,742,429,765,075,856/125,725,864
  6. Step 6: Final answer
    x = 284,288,599.24

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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.