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Finding the Third Proportional to 164,933,862 and 242,352,072

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Solution

The third proportional to 164,933,862 and 242,352,072 is: 356,109,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,933,862 : 242,352,072 = 242,352,072 : x
  2. Step 2: Convert to fraction form
    164,933,862/242,352,072 = 242,352,072/x
  3. Step 3: Cross multiply
    164,933,862x = 242,352,072 × 242,352,072
  4. Step 4: Simplify right side
    164,933,862x = 58,734,526,802,693,184
  5. Step 5: Solve for x
    x = 58,734,526,802,693,184/164,933,862
  6. Step 6: Final answer
    x = 356,109,570.77

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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.