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Finding the Third Proportional to 235,664,850,306 and 516,955,629,300

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Solution

The third proportional to 235,664,850,306 and 516,955,629,300 is: 1,133,996,530,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,664,850,306 : 516,955,629,300 = 516,955,629,300 : x
  2. Step 2: Convert to fraction form
    235,664,850,306/516,955,629,300 = 516,955,629,300/x
  3. Step 3: Cross multiply
    235,664,850,306x = 516,955,629,300 × 516,955,629,300
  4. Step 4: Simplify right side
    235,664,850,306x = 267,243,122,664,959,027,183,616
  5. Step 5: Solve for x
    x = 267,243,122,664,959,027,183,616/235,664,850,306
  6. Step 6: Final answer
    x = 1,133,996,530,742.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.