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Finding the Third Proportional to 216,900,240 and 330,432,696

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Solution

The third proportional to 216,900,240 and 330,432,696 is: 503,391,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,900,240 : 330,432,696 = 330,432,696 : x
  2. Step 2: Convert to fraction form
    216,900,240/330,432,696 = 330,432,696/x
  3. Step 3: Cross multiply
    216,900,240x = 330,432,696 × 330,432,696
  4. Step 4: Simplify right side
    216,900,240x = 109,185,766,585,828,416
  5. Step 5: Solve for x
    x = 109,185,766,585,828,416/216,900,240
  6. Step 6: Final answer
    x = 503,391,635.65

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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.