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Finding the Third Proportional to 198,354,836 and 463,191,017

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Solution

The third proportional to 198,354,836 and 463,191,017 is: 1,081,626,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,354,836 : 463,191,017 = 463,191,017 : x
  2. Step 2: Convert to fraction form
    198,354,836/463,191,017 = 463,191,017/x
  3. Step 3: Cross multiply
    198,354,836x = 463,191,017 × 463,191,017
  4. Step 4: Simplify right side
    198,354,836x = 214,545,918,229,494,304
  5. Step 5: Solve for x
    x = 214,545,918,229,494,304/198,354,836
  6. Step 6: Final answer
    x = 1,081,626,859.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.