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Finding the Third Proportional to 97,742,743 and 143,418,880

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Solution

The third proportional to 97,742,743 and 143,418,880 is: 210,439,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,742,743 : 143,418,880 = 143,418,880 : x
  2. Step 2: Convert to fraction form
    97,742,743/143,418,880 = 143,418,880/x
  3. Step 3: Cross multiply
    97,742,743x = 143,418,880 × 143,418,880
  4. Step 4: Simplify right side
    97,742,743x = 20,568,975,140,454,400
  5. Step 5: Solve for x
    x = 20,568,975,140,454,400/97,742,743
  6. Step 6: Final answer
    x = 210,439,921.26

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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.