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Finding the Third Proportional to 143,206,848 and 212,125,798

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Solution

The third proportional to 143,206,848 and 212,125,798 is: 314,212,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,206,848 : 212,125,798 = 212,125,798 : x
  2. Step 2: Convert to fraction form
    143,206,848/212,125,798 = 212,125,798/x
  3. Step 3: Cross multiply
    143,206,848x = 212,125,798 × 212,125,798
  4. Step 4: Simplify right side
    143,206,848x = 44,997,354,177,136,800
  5. Step 5: Solve for x
    x = 44,997,354,177,136,800/143,206,848
  6. Step 6: Final answer
    x = 314,212,307.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.