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Finding the Third Proportional to 114,390,281 and 161,086,721

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Solution

The third proportional to 114,390,281 and 161,086,721 is: 226,845,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390,281 : 161,086,721 = 161,086,721 : x
  2. Step 2: Convert to fraction form
    114,390,281/161,086,721 = 161,086,721/x
  3. Step 3: Cross multiply
    114,390,281x = 161,086,721 × 161,086,721
  4. Step 4: Simplify right side
    114,390,281x = 25,948,931,682,531,840
  5. Step 5: Solve for x
    x = 25,948,931,682,531,840/114,390,281
  6. Step 6: Final answer
    x = 226,845,597.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.