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Finding the Third Proportional to 97,823,305.13 and 210,968,273.25

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Solution

The third proportional to 97,823,305.13 and 210,968,273.25 is: 454,979,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,823,305.13 : 210,968,273.25 = 210,968,273.25 : x
  2. Step 2: Convert to fraction form
    97,823,305.13/210,968,273.25 = 210,968,273.25/x
  3. Step 3: Cross multiply
    97,823,305.13x = 210,968,273.25 × 210,968,273.25
  4. Step 4: Simplify right side
    97,823,305.13x = 44,507,612,318,086,664
  5. Step 5: Solve for x
    x = 44,507,612,318,086,664/97,823,305.13
  6. Step 6: Final answer
    x = 454,979,641.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.