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Finding the Third Proportional to 198,255,944.25 and 429,461,784

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Solution

The third proportional to 198,255,944.25 and 429,461,784 is: 930,299,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,255,944.25 : 429,461,784 = 429,461,784 : x
  2. Step 2: Convert to fraction form
    198,255,944.25/429,461,784 = 429,461,784/x
  3. Step 3: Cross multiply
    198,255,944.25x = 429,461,784 × 429,461,784
  4. Step 4: Simplify right side
    198,255,944.25x = 184,437,423,916,462,656
  5. Step 5: Solve for x
    x = 184,437,423,916,462,656/198,255,944.25
  6. Step 6: Final answer
    x = 930,299,591.34

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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.