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Finding the Third Proportional to 111,557,742 and 242,870,169

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Solution

The third proportional to 111,557,742 and 242,870,169 is: 528,747,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,557,742 : 242,870,169 = 242,870,169 : x
  2. Step 2: Convert to fraction form
    111,557,742/242,870,169 = 242,870,169/x
  3. Step 3: Cross multiply
    111,557,742x = 242,870,169 × 242,870,169
  4. Step 4: Simplify right side
    111,557,742x = 58,985,918,990,088,560
  5. Step 5: Solve for x
    x = 58,985,918,990,088,560/111,557,742
  6. Step 6: Final answer
    x = 528,747,874.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.