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Finding the Third Proportional to 102,299,652 and 219,190,952

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Solution

The third proportional to 102,299,652 and 219,190,952 is: 469,646,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299,652 : 219,190,952 = 219,190,952 : x
  2. Step 2: Convert to fraction form
    102,299,652/219,190,952 = 219,190,952/x
  3. Step 3: Cross multiply
    102,299,652x = 219,190,952 × 219,190,952
  4. Step 4: Simplify right side
    102,299,652x = 48,044,673,438,666,304
  5. Step 5: Solve for x
    x = 48,044,673,438,666,304/102,299,652
  6. Step 6: Final answer
    x = 469,646,499.27

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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.