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Finding the Third Proportional to 68,653,150 and 103,618,160

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Solution

The third proportional to 68,653,150 and 103,618,160 is: 156,390,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,653,150 : 103,618,160 = 103,618,160 : x
  2. Step 2: Convert to fraction form
    68,653,150/103,618,160 = 103,618,160/x
  3. Step 3: Cross multiply
    68,653,150x = 103,618,160 × 103,618,160
  4. Step 4: Simplify right side
    68,653,150x = 10,736,723,081,785,600
  5. Step 5: Solve for x
    x = 10,736,723,081,785,600/68,653,150
  6. Step 6: Final answer
    x = 156,390,829.58

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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.