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Finding the Third Proportional to 203,872,720 and 440,202,528

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Solution

The third proportional to 203,872,720 and 440,202,528 is: 950,486,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,872,720 : 440,202,528 = 440,202,528 : x
  2. Step 2: Convert to fraction form
    203,872,720/440,202,528 = 440,202,528/x
  3. Step 3: Cross multiply
    203,872,720x = 440,202,528 × 440,202,528
  4. Step 4: Simplify right side
    203,872,720x = 193,778,265,657,590,784
  5. Step 5: Solve for x
    x = 193,778,265,657,590,784/203,872,720
  6. Step 6: Final answer
    x = 950,486,488.13

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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.