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Finding the Third Proportional to 104,960,621 and 144,686,145

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Solution

The third proportional to 104,960,621 and 144,686,145 is: 199,446,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960,621 : 144,686,145 = 144,686,145 : x
  2. Step 2: Convert to fraction form
    104,960,621/144,686,145 = 144,686,145/x
  3. Step 3: Cross multiply
    104,960,621x = 144,686,145 × 144,686,145
  4. Step 4: Simplify right side
    104,960,621x = 20,934,080,554,961,024
  5. Step 5: Solve for x
    x = 20,934,080,554,961,024/104,960,621
  6. Step 6: Final answer
    x = 199,446,995.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.