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Finding the Third Proportional to 206,818,515 and 314,524,984.50

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Solution

The third proportional to 206,818,515 and 314,524,984.50 is: 478,322,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,818,515 : 314,524,984.50 = 314,524,984.50 : x
  2. Step 2: Convert to fraction form
    206,818,515/314,524,984.50 = 314,524,984.50/x
  3. Step 3: Cross multiply
    206,818,515x = 314,524,984.50 × 314,524,984.50
  4. Step 4: Simplify right side
    206,818,515x = 98,925,965,874,725,248
  5. Step 5: Solve for x
    x = 98,925,965,874,725,248/206,818,515
  6. Step 6: Final answer
    x = 478,322,580.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.