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Finding the Third Proportional to 102,854,055 and 219,657,210

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Solution

The third proportional to 102,854,055 and 219,657,210 is: 469,104,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854,055 : 219,657,210 = 219,657,210 : x
  2. Step 2: Convert to fraction form
    102,854,055/219,657,210 = 219,657,210/x
  3. Step 3: Cross multiply
    102,854,055x = 219,657,210 × 219,657,210
  4. Step 4: Simplify right side
    102,854,055x = 48,249,289,904,984,096
  5. Step 5: Solve for x
    x = 48,249,289,904,984,096/102,854,055
  6. Step 6: Final answer
    x = 469,104,401.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.