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Finding the Third Proportional to 102,139,424 and 218,434,624

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Solution

The third proportional to 102,139,424 and 218,434,624 is: 467,142,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139,424 : 218,434,624 = 218,434,624 : x
  2. Step 2: Convert to fraction form
    102,139,424/218,434,624 = 218,434,624/x
  3. Step 3: Cross multiply
    102,139,424x = 218,434,624 × 218,434,624
  4. Step 4: Simplify right side
    102,139,424x = 47,713,684,962,021,376
  5. Step 5: Solve for x
    x = 47,713,684,962,021,376/102,139,424
  6. Step 6: Final answer
    x = 467,142,686.86

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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.