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Finding the Third Proportional to 202,049,406 and 435,636,588

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Solution

The third proportional to 202,049,406 and 435,636,588 is: 939,271,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049,406 : 435,636,588 = 435,636,588 : x
  2. Step 2: Convert to fraction form
    202,049,406/435,636,588 = 435,636,588/x
  3. Step 3: Cross multiply
    202,049,406x = 435,636,588 × 435,636,588
  4. Step 4: Simplify right side
    202,049,406x = 189,779,236,804,281,728
  5. Step 5: Solve for x
    x = 189,779,236,804,281,728/202,049,406
  6. Step 6: Final answer
    x = 939,271,441.38

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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.