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Finding the Third Proportional to 164,933,864 and 242,352,075

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Solution

The third proportional to 164,933,864 and 242,352,075 is: 356,109,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,933,864 : 242,352,075 = 242,352,075 : x
  2. Step 2: Convert to fraction form
    164,933,864/242,352,075 = 242,352,075/x
  3. Step 3: Cross multiply
    164,933,864x = 242,352,075 × 242,352,075
  4. Step 4: Simplify right side
    164,933,864x = 58,734,528,256,805,624
  5. Step 5: Solve for x
    x = 58,734,528,256,805,624/164,933,864
  6. Step 6: Final answer
    x = 356,109,575.27

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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.