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Finding the Third Proportional to 198,252,587.25 and 429,448,630.50

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Solution

The third proportional to 198,252,587.25 and 429,448,630.50 is: 930,258,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,587.25 : 429,448,630.50 = 429,448,630.50 : x
  2. Step 2: Convert to fraction form
    198,252,587.25/429,448,630.50 = 429,448,630.50/x
  3. Step 3: Cross multiply
    198,252,587.25x = 429,448,630.50 × 429,448,630.50
  4. Step 4: Simplify right side
    198,252,587.25x = 184,426,126,238,325,536
  5. Step 5: Solve for x
    x = 184,426,126,238,325,536/198,252,587.25
  6. Step 6: Final answer
    x = 930,258,357.77

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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.