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Finding the Third Proportional to 237,774,867.50 and 482,235,424

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Solution

The third proportional to 237,774,867.50 and 482,235,424 is: 978,030,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774,867.50 : 482,235,424 = 482,235,424 : x
  2. Step 2: Convert to fraction form
    237,774,867.50/482,235,424 = 482,235,424/x
  3. Step 3: Cross multiply
    237,774,867.50x = 482,235,424 × 482,235,424
  4. Step 4: Simplify right side
    237,774,867.50x = 232,551,004,160,459,776
  5. Step 5: Solve for x
    x = 232,551,004,160,459,776/237,774,867.50
  6. Step 6: Final answer
    x = 978,030,212.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.