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Finding the Third Proportional to 100,947,305 and 219,609,310

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Solution

The third proportional to 100,947,305 and 219,609,310 is: 477,756,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947,305 : 219,609,310 = 219,609,310 : x
  2. Step 2: Convert to fraction form
    100,947,305/219,609,310 = 219,609,310/x
  3. Step 3: Cross multiply
    100,947,305x = 219,609,310 × 219,609,310
  4. Step 4: Simplify right side
    100,947,305x = 48,228,249,038,676,096
  5. Step 5: Solve for x
    x = 48,228,249,038,676,096/100,947,305
  6. Step 6: Final answer
    x = 477,756,677.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.