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Finding the Third Proportional to 198,641,084 and 427,640,712

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Solution

The third proportional to 198,641,084 and 427,640,712 is: 920,638,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641,084 : 427,640,712 = 427,640,712 : x
  2. Step 2: Convert to fraction form
    198,641,084/427,640,712 = 427,640,712/x
  3. Step 3: Cross multiply
    198,641,084x = 427,640,712 × 427,640,712
  4. Step 4: Simplify right side
    198,641,084x = 182,876,578,559,866,944
  5. Step 5: Solve for x
    x = 182,876,578,559,866,944/198,641,084
  6. Step 6: Final answer
    x = 920,638,242.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.