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Finding the Third Proportional to 97,589,918 and 205,243,996

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Solution

The third proportional to 97,589,918 and 205,243,996 is: 431,654,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,589,918 : 205,243,996 = 205,243,996 : x
  2. Step 2: Convert to fraction form
    97,589,918/205,243,996 = 205,243,996/x
  3. Step 3: Cross multiply
    97,589,918x = 205,243,996 × 205,243,996
  4. Step 4: Simplify right side
    97,589,918x = 42,125,097,894,048,016
  5. Step 5: Solve for x
    x = 42,125,097,894,048,016/97,589,918
  6. Step 6: Final answer
    x = 431,654,199.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.