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Finding the Third Proportional to 68,051,564 and 149,330,680

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Solution

The third proportional to 68,051,564 and 149,330,680 is: 327,687,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051,564 : 149,330,680 = 149,330,680 : x
  2. Step 2: Convert to fraction form
    68,051,564/149,330,680 = 149,330,680/x
  3. Step 3: Cross multiply
    68,051,564x = 149,330,680 × 149,330,680
  4. Step 4: Simplify right side
    68,051,564x = 22,299,651,989,262,400
  5. Step 5: Solve for x
    x = 22,299,651,989,262,400/68,051,564
  6. Step 6: Final answer
    x = 327,687,575.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.