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Finding the Third Proportional to 133,668,164 and 212,692,324

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Solution

The third proportional to 133,668,164 and 212,692,324 is: 338,435,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,164 : 212,692,324 = 212,692,324 : x
  2. Step 2: Convert to fraction form
    133,668,164/212,692,324 = 212,692,324/x
  3. Step 3: Cross multiply
    133,668,164x = 212,692,324 × 212,692,324
  4. Step 4: Simplify right side
    133,668,164x = 45,238,024,688,520,976
  5. Step 5: Solve for x
    x = 45,238,024,688,520,976/133,668,164
  6. Step 6: Final answer
    x = 338,435,296.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.