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Finding the Third Proportional to 165,965,053 and 243,566,719

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Solution

The third proportional to 165,965,053 and 243,566,719 is: 357,453,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,965,053 : 243,566,719 = 243,566,719 : x
  2. Step 2: Convert to fraction form
    165,965,053/243,566,719 = 243,566,719/x
  3. Step 3: Cross multiply
    165,965,053x = 243,566,719 × 243,566,719
  4. Step 4: Simplify right side
    165,965,053x = 59,324,746,604,424,960
  5. Step 5: Solve for x
    x = 59,324,746,604,424,960/165,965,053
  6. Step 6: Final answer
    x = 357,453,244.11

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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.