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Finding the Third Proportional to 147,872,384 and 329,745,216

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Solution

The third proportional to 147,872,384 and 329,745,216 is: 735,309,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,384 : 329,745,216 = 329,745,216 : x
  2. Step 2: Convert to fraction form
    147,872,384/329,745,216 = 329,745,216/x
  3. Step 3: Cross multiply
    147,872,384x = 329,745,216 × 329,745,216
  4. Step 4: Simplify right side
    147,872,384x = 108,731,907,474,886,656
  5. Step 5: Solve for x
    x = 108,731,907,474,886,656/147,872,384
  6. Step 6: Final answer
    x = 735,309,085.67

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.