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Finding the Third Proportional to 46,899,091.13 and 101,871,700.31

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Solution

The third proportional to 46,899,091.13 and 101,871,700.31 is: 221,280,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899,091.13 : 101,871,700.31 = 101,871,700.31 : x
  2. Step 2: Convert to fraction form
    46,899,091.13/101,871,700.31 = 101,871,700.31/x
  3. Step 3: Cross multiply
    46,899,091.13x = 101,871,700.31 × 101,871,700.31
  4. Step 4: Simplify right side
    46,899,091.13x = 10,377,843,324,559,812
  5. Step 5: Solve for x
    x = 10,377,843,324,559,812/46,899,091.13
  6. Step 6: Final answer
    x = 221,280,265.26

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Why These Related Problems?

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