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Finding the Third Proportional to 204,265,900.13 and 423,066,298.50

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Solution

The third proportional to 204,265,900.13 and 423,066,298.50 is: 876,235,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265,900.13 : 423,066,298.50 = 423,066,298.50 : x
  2. Step 2: Convert to fraction form
    204,265,900.13/423,066,298.50 = 423,066,298.50/x
  3. Step 3: Cross multiply
    204,265,900.13x = 423,066,298.50 × 423,066,298.50
  4. Step 4: Simplify right side
    204,265,900.13x = 178,985,092,926,491,104
  5. Step 5: Solve for x
    x = 178,985,092,926,491,104/204,265,900.13
  6. Step 6: Final answer
    x = 876,235,792.74

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.