Home / 205,532,551.41-421,961,001.64

Finding the Third Proportional to 205,532,551.41 and 421,961,001.64

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Solution

The third proportional to 205,532,551.41 and 421,961,001.64 is: 866,291,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532,551.41 : 421,961,001.64 = 421,961,001.64 : x
  2. Step 2: Convert to fraction form
    205,532,551.41/421,961,001.64 = 421,961,001.64/x
  3. Step 3: Cross multiply
    205,532,551.41x = 421,961,001.64 × 421,961,001.64
  4. Step 4: Simplify right side
    205,532,551.41x = 178,051,086,908,871,936
  5. Step 5: Solve for x
    x = 178,051,086,908,871,936/205,532,551.41
  6. Step 6: Final answer
    x = 866,291,425.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.