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Finding the Third Proportional to 98,166,078 and 213,569,820

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Solution

The third proportional to 98,166,078 and 213,569,820 is: 464,641,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,166,078 : 213,569,820 = 213,569,820 : x
  2. Step 2: Convert to fraction form
    98,166,078/213,569,820 = 213,569,820/x
  3. Step 3: Cross multiply
    98,166,078x = 213,569,820 × 213,569,820
  4. Step 4: Simplify right side
    98,166,078x = 45,612,068,014,832,400
  5. Step 5: Solve for x
    x = 45,612,068,014,832,400/98,166,078
  6. Step 6: Final answer
    x = 464,641,849.24

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