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Finding the Third Proportional to 153,384,646.50 and 215,745,747.75

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Solution

The third proportional to 153,384,646.50 and 215,745,747.75 is: 303,460,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,384,646.50 : 215,745,747.75 = 215,745,747.75 : x
  2. Step 2: Convert to fraction form
    153,384,646.50/215,745,747.75 = 215,745,747.75/x
  3. Step 3: Cross multiply
    153,384,646.50x = 215,745,747.75 × 215,745,747.75
  4. Step 4: Simplify right side
    153,384,646.50x = 46,546,227,672,206,632
  5. Step 5: Solve for x
    x = 46,546,227,672,206,632/153,384,646.50
  6. Step 6: Final answer
    x = 303,460,800.90

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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.