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Finding the Third Proportional to 121,341,197 and 171,694,075

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Solution

The third proportional to 121,341,197 and 171,694,075 is: 242,941,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,341,197 : 171,694,075 = 171,694,075 : x
  2. Step 2: Convert to fraction form
    121,341,197/171,694,075 = 171,694,075/x
  3. Step 3: Cross multiply
    121,341,197x = 171,694,075 × 171,694,075
  4. Step 4: Simplify right side
    121,341,197x = 29,478,855,390,105,624
  5. Step 5: Solve for x
    x = 29,478,855,390,105,624/121,341,197
  6. Step 6: Final answer
    x = 242,941,854.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.