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Finding the Third Proportional to 97,369,438 and 205,603,890

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Solution

The third proportional to 97,369,438 and 205,603,890 is: 434,150,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369,438 : 205,603,890 = 205,603,890 : x
  2. Step 2: Convert to fraction form
    97,369,438/205,603,890 = 205,603,890/x
  3. Step 3: Cross multiply
    97,369,438x = 205,603,890 × 205,603,890
  4. Step 4: Simplify right side
    97,369,438x = 42,272,959,583,132,096
  5. Step 5: Solve for x
    x = 42,272,959,583,132,096/97,369,438
  6. Step 6: Final answer
    x = 434,150,185.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.