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Finding the Third Proportional to 140,675,222 and 212,482,830

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Solution

The third proportional to 140,675,222 and 212,482,830 is: 320,944,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,675,222 : 212,482,830 = 212,482,830 : x
  2. Step 2: Convert to fraction form
    140,675,222/212,482,830 = 212,482,830/x
  3. Step 3: Cross multiply
    140,675,222x = 212,482,830 × 212,482,830
  4. Step 4: Simplify right side
    140,675,222x = 45,148,953,044,808,896
  5. Step 5: Solve for x
    x = 45,148,953,044,808,896/140,675,222
  6. Step 6: Final answer
    x = 320,944,601.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.