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Finding the Third Proportional to 198,220,905 and 434,559,600

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Solution

The third proportional to 198,220,905 and 434,559,600 is: 952,684,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,220,905 : 434,559,600 = 434,559,600 : x
  2. Step 2: Convert to fraction form
    198,220,905/434,559,600 = 434,559,600/x
  3. Step 3: Cross multiply
    198,220,905x = 434,559,600 × 434,559,600
  4. Step 4: Simplify right side
    198,220,905x = 188,842,045,952,160,000
  5. Step 5: Solve for x
    x = 188,842,045,952,160,000/198,220,905
  6. Step 6: Final answer
    x = 952,684,813.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.