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Finding the Third Proportional to 114,390,283 and 161,086,724

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Solution

The third proportional to 114,390,283 and 161,086,724 is: 226,845,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390,283 : 161,086,724 = 161,086,724 : x
  2. Step 2: Convert to fraction form
    114,390,283/161,086,724 = 161,086,724/x
  3. Step 3: Cross multiply
    114,390,283x = 161,086,724 × 161,086,724
  4. Step 4: Simplify right side
    114,390,283x = 25,948,932,649,052,176
  5. Step 5: Solve for x
    x = 25,948,932,649,052,176/114,390,283
  6. Step 6: Final answer
    x = 226,845,602.34

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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.