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Finding the Third Proportional to 68,653,184 and 103,618,213

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Solution

The third proportional to 68,653,184 and 103,618,213 is: 156,390,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,653,184 : 103,618,213 = 103,618,213 : x
  2. Step 2: Convert to fraction form
    68,653,184/103,618,213 = 103,618,213/x
  3. Step 3: Cross multiply
    68,653,184x = 103,618,213 × 103,618,213
  4. Step 4: Simplify right side
    68,653,184x = 10,736,734,065,313,368
  5. Step 5: Solve for x
    x = 10,736,734,065,313,368/68,653,184
  6. Step 6: Final answer
    x = 156,390,912.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.