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Finding the Third Proportional to 143,942,488 and 313,442,095

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Solution

The third proportional to 143,942,488 and 313,442,095 is: 682,536,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,942,488 : 313,442,095 = 313,442,095 : x
  2. Step 2: Convert to fraction form
    143,942,488/313,442,095 = 313,442,095/x
  3. Step 3: Cross multiply
    143,942,488x = 313,442,095 × 313,442,095
  4. Step 4: Simplify right side
    143,942,488x = 98,245,946,917,989,024
  5. Step 5: Solve for x
    x = 98,245,946,917,989,024/143,942,488
  6. Step 6: Final answer
    x = 682,536,117.61

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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.