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Finding the Third Proportional to 212,585,344 and 330,070,584

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Solution

The third proportional to 212,585,344 and 330,070,584 is: 512,484,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,585,344 : 330,070,584 = 330,070,584 : x
  2. Step 2: Convert to fraction form
    212,585,344/330,070,584 = 330,070,584/x
  3. Step 3: Cross multiply
    212,585,344x = 330,070,584 × 330,070,584
  4. Step 4: Simplify right side
    212,585,344x = 108,946,590,422,101,056
  5. Step 5: Solve for x
    x = 108,946,590,422,101,056/212,585,344
  6. Step 6: Final answer
    x = 512,484,014.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.