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Finding the Third Proportional to 114,975,861 and 172,421,572.50

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Solution

The third proportional to 114,975,861 and 172,421,572.50 is: 258,569,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,975,861 : 172,421,572.50 = 172,421,572.50 : x
  2. Step 2: Convert to fraction form
    114,975,861/172,421,572.50 = 172,421,572.50/x
  3. Step 3: Cross multiply
    114,975,861x = 172,421,572.50 × 172,421,572.50
  4. Step 4: Simplify right side
    114,975,861x = 29,729,198,663,372,756
  5. Step 5: Solve for x
    x = 29,729,198,663,372,756/114,975,861
  6. Step 6: Final answer
    x = 258,569,045.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.