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Finding the Third Proportional to 259,994,663 and 354,112,345

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Solution

The third proportional to 259,994,663 and 354,112,345 is: 482,300,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994,663 : 354,112,345 = 354,112,345 : x
  2. Step 2: Convert to fraction form
    259,994,663/354,112,345 = 354,112,345/x
  3. Step 3: Cross multiply
    259,994,663x = 354,112,345 × 354,112,345
  4. Step 4: Simplify right side
    259,994,663x = 125,395,552,881,399,024
  5. Step 5: Solve for x
    x = 125,395,552,881,399,024/259,994,663
  6. Step 6: Final answer
    x = 482,300,488.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.