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Finding the Third Proportional to 102,418,344 and 149,739,199

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Solution

The third proportional to 102,418,344 and 149,739,199 is: 218,923,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418,344 : 149,739,199 = 149,739,199 : x
  2. Step 2: Convert to fraction form
    102,418,344/149,739,199 = 149,739,199/x
  3. Step 3: Cross multiply
    102,418,344x = 149,739,199 × 149,739,199
  4. Step 4: Simplify right side
    102,418,344x = 22,421,827,717,161,600
  5. Step 5: Solve for x
    x = 22,421,827,717,161,600/102,418,344
  6. Step 6: Final answer
    x = 218,923,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.