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Finding the Third Proportional to 134,114,870 and 205,021,641

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Solution

The third proportional to 134,114,870 and 205,021,641 is: 313,416,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114,870 : 205,021,641 = 205,021,641 : x
  2. Step 2: Convert to fraction form
    134,114,870/205,021,641 = 205,021,641/x
  3. Step 3: Cross multiply
    134,114,870x = 205,021,641 × 205,021,641
  4. Step 4: Simplify right side
    134,114,870x = 42,033,873,278,332,880
  5. Step 5: Solve for x
    x = 42,033,873,278,332,880/134,114,870
  6. Step 6: Final answer
    x = 313,416,948.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.