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Finding the Third Proportional to 98,712,879,770 and 150,382,244,199

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Solution

The third proportional to 98,712,879,770 and 150,382,244,199 is: 229,096,946,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712,879,770 : 150,382,244,199 = 150,382,244,199 : x
  2. Step 2: Convert to fraction form
    98,712,879,770/150,382,244,199 = 150,382,244,199/x
  3. Step 3: Cross multiply
    98,712,879,770x = 150,382,244,199 × 150,382,244,199
  4. Step 4: Simplify right side
    98,712,879,770x = 22,614,819,370,327,668,162,560
  5. Step 5: Solve for x
    x = 22,614,819,370,327,668,162,560/98,712,879,770
  6. Step 6: Final answer
    x = 229,096,946,852.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.