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Finding the Third Proportional to 125,725,792 and 189,056,576

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Solution

The third proportional to 125,725,792 and 189,056,576 is: 284,288,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725,792 : 189,056,576 = 189,056,576 : x
  2. Step 2: Convert to fraction form
    125,725,792/189,056,576 = 189,056,576/x
  3. Step 3: Cross multiply
    125,725,792x = 189,056,576 × 189,056,576
  4. Step 4: Simplify right side
    125,725,792x = 35,742,388,928,843,776
  5. Step 5: Solve for x
    x = 35,742,388,928,843,776/125,725,792
  6. Step 6: Final answer
    x = 284,288,437.24

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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.