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Finding the Third Proportional to 194,863,248 and 403,539,032

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Solution

The third proportional to 194,863,248 and 403,539,032 is: 835,682,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863,248 : 403,539,032 = 403,539,032 : x
  2. Step 2: Convert to fraction form
    194,863,248/403,539,032 = 403,539,032/x
  3. Step 3: Cross multiply
    194,863,248x = 403,539,032 × 403,539,032
  4. Step 4: Simplify right side
    194,863,248x = 162,843,750,347,497,024
  5. Step 5: Solve for x
    x = 162,843,750,347,497,024/194,863,248
  6. Step 6: Final answer
    x = 835,682,213.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.