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Finding the Third Proportional to 99,594,213,187.50 and 215,090,225,847

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Solution

The third proportional to 99,594,213,187.50 and 215,090,225,847 is: 464,523,025,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,594,213,187.50 : 215,090,225,847 = 215,090,225,847 : x
  2. Step 2: Convert to fraction form
    99,594,213,187.50/215,090,225,847 = 215,090,225,847/x
  3. Step 3: Cross multiply
    99,594,213,187.50x = 215,090,225,847 × 215,090,225,847
  4. Step 4: Simplify right side
    99,594,213,187.50x = 46,263,805,254,913,469,972,480
  5. Step 5: Solve for x
    x = 46,263,805,254,913,469,972,480/99,594,213,187.50
  6. Step 6: Final answer
    x = 464,523,025,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.