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Finding the Third Proportional to 194,156,926 and 415,948,784

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Solution

The third proportional to 194,156,926 and 415,948,784 is: 891,100,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,926 : 415,948,784 = 415,948,784 : x
  2. Step 2: Convert to fraction form
    194,156,926/415,948,784 = 415,948,784/x
  3. Step 3: Cross multiply
    194,156,926x = 415,948,784 × 415,948,784
  4. Step 4: Simplify right side
    194,156,926x = 173,013,390,911,078,656
  5. Step 5: Solve for x
    x = 173,013,390,911,078,656/194,156,926
  6. Step 6: Final answer
    x = 891,100,793.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.