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Finding the Third Proportional to 229,799,770 and 491,548,270

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Solution

The third proportional to 229,799,770 and 491,548,270 is: 1,051,435,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,799,770 : 491,548,270 = 491,548,270 : x
  2. Step 2: Convert to fraction form
    229,799,770/491,548,270 = 491,548,270/x
  3. Step 3: Cross multiply
    229,799,770x = 491,548,270 × 491,548,270
  4. Step 4: Simplify right side
    229,799,770x = 241,619,701,739,992,896
  5. Step 5: Solve for x
    x = 241,619,701,739,992,896/229,799,770
  6. Step 6: Final answer
    x = 1,051,435,785.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.