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Finding the Third Proportional to 161,600,196 and 250,736,865

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Solution

The third proportional to 161,600,196 and 250,736,865 is: 389,040,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,600,196 : 250,736,865 = 250,736,865 : x
  2. Step 2: Convert to fraction form
    161,600,196/250,736,865 = 250,736,865/x
  3. Step 3: Cross multiply
    161,600,196x = 250,736,865 × 250,736,865
  4. Step 4: Simplify right side
    161,600,196x = 62,868,975,470,028,224
  5. Step 5: Solve for x
    x = 62,868,975,470,028,224/161,600,196
  6. Step 6: Final answer
    x = 389,040,217.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.