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Finding the Third Proportional to 198,893,070 and 433,914,246

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Solution

The third proportional to 198,893,070 and 433,914,246 is: 946,647,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,893,070 : 433,914,246 = 433,914,246 : x
  2. Step 2: Convert to fraction form
    198,893,070/433,914,246 = 433,914,246/x
  3. Step 3: Cross multiply
    198,893,070x = 433,914,246 × 433,914,246
  4. Step 4: Simplify right side
    198,893,070x = 188,281,572,881,748,512
  5. Step 5: Solve for x
    x = 188,281,572,881,748,512/198,893,070
  6. Step 6: Final answer
    x = 946,647,225.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.