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Finding the Third Proportional to 151,623,214 and 216,673,091

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Solution

The third proportional to 151,623,214 and 216,673,091 is: 309,630,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,623,214 : 216,673,091 = 216,673,091 : x
  2. Step 2: Convert to fraction form
    151,623,214/216,673,091 = 216,673,091/x
  3. Step 3: Cross multiply
    151,623,214x = 216,673,091 × 216,673,091
  4. Step 4: Simplify right side
    151,623,214x = 46,947,228,363,494,280
  5. Step 5: Solve for x
    x = 46,947,228,363,494,280/151,623,214
  6. Step 6: Final answer
    x = 309,630,874.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.