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Finding the Third Proportional to 165,965,141 and 243,566,863

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Solution

The third proportional to 165,965,141 and 243,566,863 is: 357,453,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,965,141 : 243,566,863 = 243,566,863 : x
  2. Step 2: Convert to fraction form
    165,965,141/243,566,863 = 243,566,863/x
  3. Step 3: Cross multiply
    165,965,141x = 243,566,863 × 243,566,863
  4. Step 4: Simplify right side
    165,965,141x = 59,324,816,751,660,768
  5. Step 5: Solve for x
    x = 59,324,816,751,660,768/165,965,141
  6. Step 6: Final answer
    x = 357,453,477.24

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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.