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Finding the Third Proportional to 122,001,706 and 268,185,908

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Solution

The third proportional to 122,001,706 and 268,185,908 is: 589,530,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001,706 : 268,185,908 = 268,185,908 : x
  2. Step 2: Convert to fraction form
    122,001,706/268,185,908 = 268,185,908/x
  3. Step 3: Cross multiply
    122,001,706x = 268,185,908 × 268,185,908
  4. Step 4: Simplify right side
    122,001,706x = 71,923,681,249,784,464
  5. Step 5: Solve for x
    x = 71,923,681,249,784,464/122,001,706
  6. Step 6: Final answer
    x = 589,530,127.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.