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Finding the Third Proportional to 101,463,232.50 and 217,275,363

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Solution

The third proportional to 101,463,232.50 and 217,275,363 is: 465,277,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,463,232.50 : 217,275,363 = 217,275,363 : x
  2. Step 2: Convert to fraction form
    101,463,232.50/217,275,363 = 217,275,363/x
  3. Step 3: Cross multiply
    101,463,232.50x = 217,275,363 × 217,275,363
  4. Step 4: Simplify right side
    101,463,232.50x = 47,208,583,366,781,768
  5. Step 5: Solve for x
    x = 47,208,583,366,781,768/101,463,232.50
  6. Step 6: Final answer
    x = 465,277,738.58

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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.