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Finding the Third Proportional to 206,939,896 and 287,730,492

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Solution

The third proportional to 206,939,896 and 287,730,492 is: 400,062,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,939,896 : 287,730,492 = 287,730,492 : x
  2. Step 2: Convert to fraction form
    206,939,896/287,730,492 = 287,730,492/x
  3. Step 3: Cross multiply
    206,939,896x = 287,730,492 × 287,730,492
  4. Step 4: Simplify right side
    206,939,896x = 82,788,836,026,562,064
  5. Step 5: Solve for x
    x = 82,788,836,026,562,064/206,939,896
  6. Step 6: Final answer
    x = 400,062,228.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.