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Finding the Third Proportional to 200,934,020 and 433,990,408

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Solution

The third proportional to 200,934,020 and 433,990,408 is: 937,360,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934,020 : 433,990,408 = 433,990,408 : x
  2. Step 2: Convert to fraction form
    200,934,020/433,990,408 = 433,990,408/x
  3. Step 3: Cross multiply
    200,934,020x = 433,990,408 × 433,990,408
  4. Step 4: Simplify right side
    200,934,020x = 188,347,674,236,006,464
  5. Step 5: Solve for x
    x = 188,347,674,236,006,464/200,934,020
  6. Step 6: Final answer
    x = 937,360,802.50

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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.