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Finding the Third Proportional to 103,433,232 and 219,475,074

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Solution

The third proportional to 103,433,232 and 219,475,074 is: 465,704,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433,232 : 219,475,074 = 219,475,074 : x
  2. Step 2: Convert to fraction form
    103,433,232/219,475,074 = 219,475,074/x
  3. Step 3: Cross multiply
    103,433,232x = 219,475,074 × 219,475,074
  4. Step 4: Simplify right side
    103,433,232x = 48,169,308,107,305,472
  5. Step 5: Solve for x
    x = 48,169,308,107,305,472/103,433,232
  6. Step 6: Final answer
    x = 465,704,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.