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Finding the Third Proportional to 142,391,584 and 213,966,492

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Solution

The third proportional to 142,391,584 and 213,966,492 is: 321,519,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,391,584 : 213,966,492 = 213,966,492 : x
  2. Step 2: Convert to fraction form
    142,391,584/213,966,492 = 213,966,492/x
  3. Step 3: Cross multiply
    142,391,584x = 213,966,492 × 213,966,492
  4. Step 4: Simplify right side
    142,391,584x = 45,781,659,698,786,064
  5. Step 5: Solve for x
    x = 45,781,659,698,786,064/142,391,584
  6. Step 6: Final answer
    x = 321,519,421.39

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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.