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Finding the Third Proportional to 220,669,806 and 468,238,276

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Solution

The third proportional to 220,669,806 and 468,238,276 is: 993,552,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,669,806 : 468,238,276 = 468,238,276 : x
  2. Step 2: Convert to fraction form
    220,669,806/468,238,276 = 468,238,276/x
  3. Step 3: Cross multiply
    220,669,806x = 468,238,276 × 468,238,276
  4. Step 4: Simplify right side
    220,669,806x = 219,247,083,111,452,160
  5. Step 5: Solve for x
    x = 219,247,083,111,452,160/220,669,806
  6. Step 6: Final answer
    x = 993,552,707.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.