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Finding the Third Proportional to 142,627,500 and 214,281,936

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Solution

The third proportional to 142,627,500 and 214,281,936 is: 321,934,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627,500 : 214,281,936 = 214,281,936 : x
  2. Step 2: Convert to fraction form
    142,627,500/214,281,936 = 214,281,936/x
  3. Step 3: Cross multiply
    142,627,500x = 214,281,936 × 214,281,936
  4. Step 4: Simplify right side
    142,627,500x = 45,916,748,095,908,096
  5. Step 5: Solve for x
    x = 45,916,748,095,908,096/142,627,500
  6. Step 6: Final answer
    x = 321,934,746.78

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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.