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Finding the Third Proportional to 217,344,560 and 325,155,161

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Solution

The third proportional to 217,344,560 and 325,155,161 is: 486,443,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344,560 : 325,155,161 = 325,155,161 : x
  2. Step 2: Convert to fraction form
    217,344,560/325,155,161 = 325,155,161/x
  3. Step 3: Cross multiply
    217,344,560x = 325,155,161 × 325,155,161
  4. Step 4: Simplify right side
    217,344,560x = 105,725,878,724,935,920
  5. Step 5: Solve for x
    x = 105,725,878,724,935,920/217,344,560
  6. Step 6: Final answer
    x = 486,443,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.