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Finding the Third Proportional to 47,528,728.50 and 100,164,273.75

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Solution

The third proportional to 47,528,728.50 and 100,164,273.75 is: 211,090,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,528,728.50 : 100,164,273.75 = 100,164,273.75 : x
  2. Step 2: Convert to fraction form
    47,528,728.50/100,164,273.75 = 100,164,273.75/x
  3. Step 3: Cross multiply
    47,528,728.50x = 100,164,273.75 × 100,164,273.75
  4. Step 4: Simplify right side
    47,528,728.50x = 10,032,881,735,864,940
  5. Step 5: Solve for x
    x = 10,032,881,735,864,940/47,528,728.50
  6. Step 6: Final answer
    x = 211,090,892.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.