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Finding the Third Proportional to 114,907,160 and 245,739,568

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Solution

The third proportional to 114,907,160 and 245,739,568 is: 525,536,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,907,160 : 245,739,568 = 245,739,568 : x
  2. Step 2: Convert to fraction form
    114,907,160/245,739,568 = 245,739,568/x
  3. Step 3: Cross multiply
    114,907,160x = 245,739,568 × 245,739,568
  4. Step 4: Simplify right side
    114,907,160x = 60,387,935,280,826,624
  5. Step 5: Solve for x
    x = 60,387,935,280,826,624/114,907,160
  6. Step 6: Final answer
    x = 525,536,748.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.