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Finding the Third Proportional to 151,623,162 and 216,673,009

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Solution

The third proportional to 151,623,162 and 216,673,009 is: 309,630,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,623,162 : 216,673,009 = 216,673,009 : x
  2. Step 2: Convert to fraction form
    151,623,162/216,673,009 = 216,673,009/x
  3. Step 3: Cross multiply
    151,623,162x = 216,673,009 × 216,673,009
  4. Step 4: Simplify right side
    151,623,162x = 46,947,192,829,114,080
  5. Step 5: Solve for x
    x = 46,947,192,829,114,080/151,623,162
  6. Step 6: Final answer
    x = 309,630,746.45

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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.