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Finding the Third Proportional to 153,572,418.75 and 217,300,263.75

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Solution

The third proportional to 153,572,418.75 and 217,300,263.75 is: 307,473,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,572,418.75 : 217,300,263.75 = 217,300,263.75 : x
  2. Step 2: Convert to fraction form
    153,572,418.75/217,300,263.75 = 217,300,263.75/x
  3. Step 3: Cross multiply
    153,572,418.75x = 217,300,263.75 × 217,300,263.75
  4. Step 4: Simplify right side
    153,572,418.75x = 47,219,404,625,819,568
  5. Step 5: Solve for x
    x = 47,219,404,625,819,568/153,572,418.75
  6. Step 6: Final answer
    x = 307,473,210.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.