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Finding the Third Proportional to 103,658,838 and 239,976,663

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Solution

The third proportional to 103,658,838 and 239,976,663 is: 555,560,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,838 : 239,976,663 = 239,976,663 : x
  2. Step 2: Convert to fraction form
    103,658,838/239,976,663 = 239,976,663/x
  3. Step 3: Cross multiply
    103,658,838x = 239,976,663 × 239,976,663
  4. Step 4: Simplify right side
    103,658,838x = 57,588,798,784,615,568
  5. Step 5: Solve for x
    x = 57,588,798,784,615,568/103,658,838
  6. Step 6: Final answer
    x = 555,560,914.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.