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Finding the Third Proportional to 125,725,870 and 189,056,693

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Solution

The third proportional to 125,725,870 and 189,056,693 is: 284,288,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725,870 : 189,056,693 = 189,056,693 : x
  2. Step 2: Convert to fraction form
    125,725,870/189,056,693 = 189,056,693/x
  3. Step 3: Cross multiply
    125,725,870x = 189,056,693 × 189,056,693
  4. Step 4: Simplify right side
    125,725,870x = 35,742,433,168,096,248
  5. Step 5: Solve for x
    x = 35,742,433,168,096,248/125,725,870
  6. Step 6: Final answer
    x = 284,288,612.74

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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.