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Finding the Third Proportional to 198,252,616 and 429,448,700

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Solution

The third proportional to 198,252,616 and 429,448,700 is: 930,258,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,616 : 429,448,700 = 429,448,700 : x
  2. Step 2: Convert to fraction form
    198,252,616/429,448,700 = 429,448,700/x
  3. Step 3: Cross multiply
    198,252,616x = 429,448,700 × 429,448,700
  4. Step 4: Simplify right side
    198,252,616x = 184,426,185,931,689,984
  5. Step 5: Solve for x
    x = 184,426,185,931,689,984/198,252,616
  6. Step 6: Final answer
    x = 930,258,523.96

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Why These Related Problems?

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