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Finding the Third Proportional to 194,292,270 and 420,869,628

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Solution

The third proportional to 194,292,270 and 420,869,628 is: 911,674,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,292,270 : 420,869,628 = 420,869,628 : x
  2. Step 2: Convert to fraction form
    194,292,270/420,869,628 = 420,869,628/x
  3. Step 3: Cross multiply
    194,292,270x = 420,869,628 × 420,869,628
  4. Step 4: Simplify right side
    194,292,270x = 177,131,243,772,858,368
  5. Step 5: Solve for x
    x = 177,131,243,772,858,368/194,292,270
  6. Step 6: Final answer
    x = 911,674,168.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.