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Finding the Third Proportional to 164,933,889 and 242,352,171

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Solution

The third proportional to 164,933,889 and 242,352,171 is: 356,109,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,933,889 : 242,352,171 = 242,352,171 : x
  2. Step 2: Convert to fraction form
    164,933,889/242,352,171 = 242,352,171/x
  3. Step 3: Cross multiply
    164,933,889x = 242,352,171 × 242,352,171
  4. Step 4: Simplify right side
    164,933,889x = 58,734,574,788,413,240
  5. Step 5: Solve for x
    x = 58,734,574,788,413,240/164,933,889
  6. Step 6: Final answer
    x = 356,109,803.42

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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.