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Finding the Third Proportional to 198,252,597 and 429,448,650

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Solution

The third proportional to 198,252,597 and 429,448,650 is: 930,258,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,597 : 429,448,650 = 429,448,650 : x
  2. Step 2: Convert to fraction form
    198,252,597/429,448,650 = 429,448,650/x
  3. Step 3: Cross multiply
    198,252,597x = 429,448,650 × 429,448,650
  4. Step 4: Simplify right side
    198,252,597x = 184,426,142,986,822,496
  5. Step 5: Solve for x
    x = 184,426,142,986,822,496/198,252,597
  6. Step 6: Final answer
    x = 930,258,396.50

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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.