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Finding the Third Proportional to 202,049,392 and 435,636,584

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Solution

The third proportional to 202,049,392 and 435,636,584 is: 939,271,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049,392 : 435,636,584 = 435,636,584 : x
  2. Step 2: Convert to fraction form
    202,049,392/435,636,584 = 435,636,584/x
  3. Step 3: Cross multiply
    202,049,392x = 435,636,584 × 435,636,584
  4. Step 4: Simplify right side
    202,049,392x = 189,779,233,319,189,056
  5. Step 5: Solve for x
    x = 189,779,233,319,189,056/202,049,392
  6. Step 6: Final answer
    x = 939,271,489.22

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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.