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Finding the Third Proportional to 135,909,237 and 294,493,278

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Solution

The third proportional to 135,909,237 and 294,493,278 is: 638,119,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909,237 : 294,493,278 = 294,493,278 : x
  2. Step 2: Convert to fraction form
    135,909,237/294,493,278 = 294,493,278/x
  3. Step 3: Cross multiply
    135,909,237x = 294,493,278 × 294,493,278
  4. Step 4: Simplify right side
    135,909,237x = 86,726,290,787,185,280
  5. Step 5: Solve for x
    x = 86,726,290,787,185,280/135,909,237
  6. Step 6: Final answer
    x = 638,119,179.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.