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Finding the Third Proportional to 130,029,642 and 190,733,823

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Solution

The third proportional to 130,029,642 and 190,733,823 is: 279,777,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029,642 : 190,733,823 = 190,733,823 : x
  2. Step 2: Convert to fraction form
    130,029,642/190,733,823 = 190,733,823/x
  3. Step 3: Cross multiply
    130,029,642x = 190,733,823 × 190,733,823
  4. Step 4: Simplify right side
    130,029,642x = 36,379,391,236,195,328
  5. Step 5: Solve for x
    x = 36,379,391,236,195,328/130,029,642
  6. Step 6: Final answer
    x = 279,777,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.