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Finding the Third Proportional to 123,964,285 and 270,249,116

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Solution

The third proportional to 123,964,285 and 270,249,116 is: 589,158,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,285 : 270,249,116 = 270,249,116 : x
  2. Step 2: Convert to fraction form
    123,964,285/270,249,116 = 270,249,116/x
  3. Step 3: Cross multiply
    123,964,285x = 270,249,116 × 270,249,116
  4. Step 4: Simplify right side
    123,964,285x = 73,034,584,698,781,456
  5. Step 5: Solve for x
    x = 73,034,584,698,781,456/123,964,285
  6. Step 6: Final answer
    x = 589,158,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.