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Finding the Third Proportional to 180,281,954 and 393,600,196

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Solution

The third proportional to 180,281,954 and 393,600,196 is: 859,326,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,281,954 : 393,600,196 = 393,600,196 : x
  2. Step 2: Convert to fraction form
    180,281,954/393,600,196 = 393,600,196/x
  3. Step 3: Cross multiply
    180,281,954x = 393,600,196 × 393,600,196
  4. Step 4: Simplify right side
    180,281,954x = 154,921,114,291,238,400
  5. Step 5: Solve for x
    x = 154,921,114,291,238,400/180,281,954
  6. Step 6: Final answer
    x = 859,326,798.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.