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Finding the Third Proportional to 142,627,770 and 214,282,341

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Solution

The third proportional to 142,627,770 and 214,282,341 is: 321,935,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627,770 : 214,282,341 = 214,282,341 : x
  2. Step 2: Convert to fraction form
    142,627,770/214,282,341 = 214,282,341/x
  3. Step 3: Cross multiply
    142,627,770x = 214,282,341 × 214,282,341
  4. Step 4: Simplify right side
    142,627,770x = 45,916,921,664,440,280
  5. Step 5: Solve for x
    x = 45,916,921,664,440,280/142,627,770
  6. Step 6: Final answer
    x = 321,935,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.