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Finding the Third Proportional to 97,742,747 and 143,418,886

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Solution

The third proportional to 97,742,747 and 143,418,886 is: 210,439,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,742,747 : 143,418,886 = 143,418,886 : x
  2. Step 2: Convert to fraction form
    97,742,747/143,418,886 = 143,418,886/x
  3. Step 3: Cross multiply
    97,742,747x = 143,418,886 × 143,418,886
  4. Step 4: Simplify right side
    97,742,747x = 20,568,976,861,480,996
  5. Step 5: Solve for x
    x = 20,568,976,861,480,996/97,742,747
  6. Step 6: Final answer
    x = 210,439,930.25

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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.