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Finding the Third Proportional to 97,741,834.13 and 143,417,412.38

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Solution

The third proportional to 97,741,834.13 and 143,417,412.38 is: 210,437,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741,834.13 : 143,417,412.38 = 143,417,412.38 : x
  2. Step 2: Convert to fraction form
    97,741,834.13/143,417,412.38 = 143,417,412.38/x
  3. Step 3: Cross multiply
    97,741,834.13x = 143,417,412.38 × 143,417,412.38
  4. Step 4: Simplify right side
    97,741,834.13x = 20,568,554,172,340,804
  5. Step 5: Solve for x
    x = 20,568,554,172,340,804/97,741,834.13
  6. Step 6: Final answer
    x = 210,437,571.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.