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Finding the Third Proportional to 97,787,148.75 and 207,232,769.25

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Solution

The third proportional to 97,787,148.75 and 207,232,769.25 is: 439,172,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,787,148.75 : 207,232,769.25 = 207,232,769.25 : x
  2. Step 2: Convert to fraction form
    97,787,148.75/207,232,769.25 = 207,232,769.25/x
  3. Step 3: Cross multiply
    97,787,148.75x = 207,232,769.25 × 207,232,769.25
  4. Step 4: Simplify right side
    97,787,148.75x = 42,945,420,651,023,744
  5. Step 5: Solve for x
    x = 42,945,420,651,023,744/97,787,148.75
  6. Step 6: Final answer
    x = 439,172,439.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.