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Finding the Third Proportional to 218,643,932.25 and 335,273,688

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Solution

The third proportional to 218,643,932.25 and 335,273,688 is: 514,116,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643,932.25 : 335,273,688 = 335,273,688 : x
  2. Step 2: Convert to fraction form
    218,643,932.25/335,273,688 = 335,273,688/x
  3. Step 3: Cross multiply
    218,643,932.25x = 335,273,688 × 335,273,688
  4. Step 4: Simplify right side
    218,643,932.25x = 112,408,445,865,121,344
  5. Step 5: Solve for x
    x = 112,408,445,865,121,344/218,643,932.25
  6. Step 6: Final answer
    x = 514,116,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.