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Finding the Third Proportional to 97,498,816 and 198,402,680

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Solution

The third proportional to 97,498,816 and 198,402,680 is: 403,734,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498,816 : 198,402,680 = 198,402,680 : x
  2. Step 2: Convert to fraction form
    97,498,816/198,402,680 = 198,402,680/x
  3. Step 3: Cross multiply
    97,498,816x = 198,402,680 × 198,402,680
  4. Step 4: Simplify right side
    97,498,816x = 39,363,623,431,182,400
  5. Step 5: Solve for x
    x = 39,363,623,431,182,400/97,498,816
  6. Step 6: Final answer
    x = 403,734,373.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.