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Finding the Third Proportional to 202,049,408 and 435,636,592

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Solution

The third proportional to 202,049,408 and 435,636,592 is: 939,271,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049,408 : 435,636,592 = 435,636,592 : x
  2. Step 2: Convert to fraction form
    202,049,408/435,636,592 = 435,636,592/x
  3. Step 3: Cross multiply
    202,049,408x = 435,636,592 × 435,636,592
  4. Step 4: Simplify right side
    202,049,408x = 189,779,240,289,374,464
  5. Step 5: Solve for x
    x = 189,779,240,289,374,464/202,049,408
  6. Step 6: Final answer
    x = 939,271,449.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.