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Finding the Third Proportional to 133,668,045 and 212,692,132.13

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Solution

The third proportional to 133,668,045 and 212,692,132.13 is: 338,434,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,045 : 212,692,132.13 = 212,692,132.13 : x
  2. Step 2: Convert to fraction form
    133,668,045/212,692,132.13 = 212,692,132.13/x
  3. Step 3: Cross multiply
    133,668,045x = 212,692,132.13 × 212,692,132.13
  4. Step 4: Simplify right side
    133,668,045x = 45,237,943,067,878,456
  5. Step 5: Solve for x
    x = 45,237,943,067,878,456/133,668,045
  6. Step 6: Final answer
    x = 338,434,986.97

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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.