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Finding the Third Proportional to 139,839,984 and 211,701,224

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Solution

The third proportional to 139,839,984 and 211,701,224 is: 320,490,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,839,984 : 211,701,224 = 211,701,224 : x
  2. Step 2: Convert to fraction form
    139,839,984/211,701,224 = 211,701,224/x
  3. Step 3: Cross multiply
    139,839,984x = 211,701,224 × 211,701,224
  4. Step 4: Simplify right side
    139,839,984x = 44,817,408,243,098,176
  5. Step 5: Solve for x
    x = 44,817,408,243,098,176/139,839,984
  6. Step 6: Final answer
    x = 320,490,656.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.