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Finding the Third Proportional to 102,299,650 and 219,190,948

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Solution

The third proportional to 102,299,650 and 219,190,948 is: 469,646,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299,650 : 219,190,948 = 219,190,948 : x
  2. Step 2: Convert to fraction form
    102,299,650/219,190,948 = 219,190,948/x
  3. Step 3: Cross multiply
    102,299,650x = 219,190,948 × 219,190,948
  4. Step 4: Simplify right side
    102,299,650x = 48,044,671,685,138,704
  5. Step 5: Solve for x
    x = 48,044,671,685,138,704/102,299,650
  6. Step 6: Final answer
    x = 469,646,491.31

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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.