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Finding the Third Proportional to 97,741,836 and 143,417,415

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Solution

The third proportional to 97,741,836 and 143,417,415 is: 210,437,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741,836 : 143,417,415 = 143,417,415 : x
  2. Step 2: Convert to fraction form
    97,741,836/143,417,415 = 143,417,415/x
  3. Step 3: Cross multiply
    97,741,836x = 143,417,415 × 143,417,415
  4. Step 4: Simplify right side
    97,741,836x = 20,568,554,925,282,224
  5. Step 5: Solve for x
    x = 20,568,554,925,282,224/97,741,836
  6. Step 6: Final answer
    x = 210,437,574.81

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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.