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Finding the Third Proportional to 46,899,108.84 and 101,871,723.09

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Solution

The third proportional to 46,899,108.84 and 101,871,723.09 is: 221,280,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899,108.84 : 101,871,723.09 = 101,871,723.09 : x
  2. Step 2: Convert to fraction form
    46,899,108.84/101,871,723.09 = 101,871,723.09/x
  3. Step 3: Cross multiply
    46,899,108.84x = 101,871,723.09 × 101,871,723.09
  4. Step 4: Simplify right side
    46,899,108.84x = 10,377,847,966,089,678
  5. Step 5: Solve for x
    x = 10,377,847,966,089,678/46,899,108.84
  6. Step 6: Final answer
    x = 221,280,280.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.