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Finding the Third Proportional to 97,585,592 and 212,169,518

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Solution

The third proportional to 97,585,592 and 212,169,518 is: 461,296,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,585,592 : 212,169,518 = 212,169,518 : x
  2. Step 2: Convert to fraction form
    97,585,592/212,169,518 = 212,169,518/x
  3. Step 3: Cross multiply
    97,585,592x = 212,169,518 × 212,169,518
  4. Step 4: Simplify right side
    97,585,592x = 45,015,904,368,352,320
  5. Step 5: Solve for x
    x = 45,015,904,368,352,320/97,585,592
  6. Step 6: Final answer
    x = 461,296,626.33

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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.