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Finding the Third Proportional to 200,657,447.44 and 440,774,389.13

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Solution

The third proportional to 200,657,447.44 and 440,774,389.13 is: 968,227,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657,447.44 : 440,774,389.13 = 440,774,389.13 : x
  2. Step 2: Convert to fraction form
    200,657,447.44/440,774,389.13 = 440,774,389.13/x
  3. Step 3: Cross multiply
    200,657,447.44x = 440,774,389.13 × 440,774,389.13
  4. Step 4: Simplify right side
    200,657,447.44x = 194,282,062,108,516,928
  5. Step 5: Solve for x
    x = 194,282,062,108,516,928/200,657,447.44
  6. Step 6: Final answer
    x = 968,227,517.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.