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Finding the Third Proportional to 125,209,765 and 173,016,231

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Solution

The third proportional to 125,209,765 and 173,016,231 is: 239,075,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209,765 : 173,016,231 = 173,016,231 : x
  2. Step 2: Convert to fraction form
    125,209,765/173,016,231 = 173,016,231/x
  3. Step 3: Cross multiply
    125,209,765x = 173,016,231 × 173,016,231
  4. Step 4: Simplify right side
    125,209,765x = 29,934,616,189,445,360
  5. Step 5: Solve for x
    x = 29,934,616,189,445,360/125,209,765
  6. Step 6: Final answer
    x = 239,075,731.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.