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Finding the Third Proportional to 107,408,030 and 165,189,477

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Solution

The third proportional to 107,408,030 and 165,189,477 is: 254,055,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,408,030 : 165,189,477 = 165,189,477 : x
  2. Step 2: Convert to fraction form
    107,408,030/165,189,477 = 165,189,477/x
  3. Step 3: Cross multiply
    107,408,030x = 165,189,477 × 165,189,477
  4. Step 4: Simplify right side
    107,408,030x = 27,287,563,311,533,528
  5. Step 5: Solve for x
    x = 27,287,563,311,533,528/107,408,030
  6. Step 6: Final answer
    x = 254,055,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.